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Finding the Fourth Proportional to 586,726.13, 809,543.22 and 332,077.32

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Solution

The fourth proportional to 586,726.13, 809,543.22 and 332,077.32 is: 458,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,726.13 : 809,543.22 = 332,077.32 : x
  2. Step 2: Convert to fraction form
    586,726.13/809,543.22 = 332,077.32/x
  3. Step 3: Cross multiply
    586,726.13x = 809,543.22 × 332,077.32
  4. Step 4: Simplify right side
    586,726.13x = 268,830,942,921.77
  5. Step 5: Solve for x
    x = 268,830,942,921.77/586,726.13
  6. Step 6: Final answer
    x = 458,188.12

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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.