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Finding the Fourth Proportional to 565,932, 781,097.10 and 324,376.50

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Solution

The fourth proportional to 565,932, 781,097.10 and 324,376.50 is: 447,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,932 : 781,097.10 = 324,376.50 : x
  2. Step 2: Convert to fraction form
    565,932/781,097.10 = 324,376.50/x
  3. Step 3: Cross multiply
    565,932x = 781,097.10 × 324,376.50
  4. Step 4: Simplify right side
    565,932x = 253,369,543,458.15
  5. Step 5: Solve for x
    x = 253,369,543,458.15/565,932
  6. Step 6: Final answer
    x = 447,703.16

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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.