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Finding the Fourth Proportional to 567,255.69, 783,013.42 and 506,721.15

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Solution

The fourth proportional to 567,255.69, 783,013.42 and 506,721.15 is: 699,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,255.69 : 783,013.42 = 506,721.15 : x
  2. Step 2: Convert to fraction form
    567,255.69/783,013.42 = 506,721.15/x
  3. Step 3: Cross multiply
    567,255.69x = 783,013.42 × 506,721.15
  4. Step 4: Simplify right side
    567,255.69x = 396,769,460,647.83
  5. Step 5: Solve for x
    x = 396,769,460,647.83/567,255.69
  6. Step 6: Final answer
    x = 699,454.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.