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Finding the Fourth Proportional to 519,713.40, 779,570.10 and 414,737.40

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Solution

The fourth proportional to 519,713.40, 779,570.10 and 414,737.40 is: 622,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,713.40 : 779,570.10 = 414,737.40 : x
  2. Step 2: Convert to fraction form
    519,713.40/779,570.10 = 414,737.40/x
  3. Step 3: Cross multiply
    519,713.40x = 779,570.10 × 414,737.40
  4. Step 4: Simplify right side
    519,713.40x = 323,316,876,391.74
  5. Step 5: Solve for x
    x = 323,316,876,391.74/519,713.40
  6. Step 6: Final answer
    x = 622,106.10

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Similar ratio
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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.