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Finding the Fourth Proportional to 586,006.88, 878,428.37 and 332,763.21

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Solution

The fourth proportional to 586,006.88, 878,428.37 and 332,763.21 is: 498,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,006.88 : 878,428.37 = 332,763.21 : x
  2. Step 2: Convert to fraction form
    586,006.88/878,428.37 = 332,763.21/x
  3. Step 3: Cross multiply
    586,006.88x = 878,428.37 × 332,763.21
  4. Step 4: Simplify right side
    586,006.88x = 292,308,646,522.86
  5. Step 5: Solve for x
    x = 292,308,646,522.86/586,006.88
  6. Step 6: Final answer
    x = 498,814.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.