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Finding the Fourth Proportional to 565,641.29, 780,578.10 and 421,092.89

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Solution

The fourth proportional to 565,641.29, 780,578.10 and 421,092.89 is: 581,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,641.29 : 780,578.10 = 421,092.89 : x
  2. Step 2: Convert to fraction form
    565,641.29/780,578.10 = 421,092.89/x
  3. Step 3: Cross multiply
    565,641.29x = 780,578.10 × 421,092.89
  4. Step 4: Simplify right side
    565,641.29x = 328,695,887,999.71
  5. Step 5: Solve for x
    x = 328,695,887,999.71/565,641.29
  6. Step 6: Final answer
    x = 581,103.07

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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.