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Finding the Fourth Proportional to 514,946.30, 772,419.45 and 514,946.30

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Solution

The fourth proportional to 514,946.30, 772,419.45 and 514,946.30 is: 772,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,946.30 : 772,419.45 = 514,946.30 : x
  2. Step 2: Convert to fraction form
    514,946.30/772,419.45 = 514,946.30/x
  3. Step 3: Cross multiply
    514,946.30x = 772,419.45 × 514,946.30
  4. Step 4: Simplify right side
    514,946.30x = 397,754,537,825.54
  5. Step 5: Solve for x
    x = 397,754,537,825.54/514,946.30
  6. Step 6: Final answer
    x = 772,419.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.