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Finding the Fourth Proportional to 519,629.40, 779,444.10 and 414,653.40

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Solution

The fourth proportional to 519,629.40, 779,444.10 and 414,653.40 is: 621,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,629.40 : 779,444.10 = 414,653.40 : x
  2. Step 2: Convert to fraction form
    519,629.40/779,444.10 = 414,653.40/x
  3. Step 3: Cross multiply
    519,629.40x = 779,444.10 × 414,653.40
  4. Step 4: Simplify right side
    519,629.40x = 323,199,146,174.94
  5. Step 5: Solve for x
    x = 323,199,146,174.94/519,629.40
  6. Step 6: Final answer
    x = 621,980.10

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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.