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Finding the Fourth Proportional to 408,729.14, 563,726.70 and 265,535.32

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Solution

The fourth proportional to 408,729.14, 563,726.70 and 265,535.32 is: 366,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,729.14 : 563,726.70 = 265,535.32 : x
  2. Step 2: Convert to fraction form
    408,729.14/563,726.70 = 265,535.32/x
  3. Step 3: Cross multiply
    408,729.14x = 563,726.70 × 265,535.32
  4. Step 4: Simplify right side
    408,729.14x = 149,689,349,677.04
  5. Step 5: Solve for x
    x = 149,689,349,677.04/408,729.14
  6. Step 6: Final answer
    x = 366,231.17

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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.