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Finding the Fourth Proportional to 589,390.72, 884,092.25 and 471,809.50

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Solution

The fourth proportional to 589,390.72, 884,092.25 and 471,809.50 is: 707,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,390.72 : 884,092.25 = 471,809.50 : x
  2. Step 2: Convert to fraction form
    589,390.72/884,092.25 = 471,809.50/x
  3. Step 3: Cross multiply
    589,390.72x = 884,092.25 × 471,809.50
  4. Step 4: Simplify right side
    589,390.72x = 417,123,121,395.67
  5. Step 5: Solve for x
    x = 417,123,121,395.67/589,390.72
  6. Step 6: Final answer
    x = 707,719.19

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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.