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Finding the Fourth Proportional to 411,946.60, 577,969.40 and 411,946.60

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Solution

The fourth proportional to 411,946.60, 577,969.40 and 411,946.60 is: 577,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,946.60 : 577,969.40 = 411,946.60 : x
  2. Step 2: Convert to fraction form
    411,946.60/577,969.40 = 411,946.60/x
  3. Step 3: Cross multiply
    411,946.60x = 577,969.40 × 411,946.60
  4. Step 4: Simplify right side
    411,946.60x = 238,092,529,234.04
  5. Step 5: Solve for x
    x = 238,092,529,234.04/411,946.60
  6. Step 6: Final answer
    x = 577,969.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.