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Finding the Fourth Proportional to 589,399.76, 884,105.76 and 471,818.52

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Solution

The fourth proportional to 589,399.76, 884,105.76 and 471,818.52 is: 707,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,399.76 : 884,105.76 = 471,818.52 : x
  2. Step 2: Convert to fraction form
    589,399.76/884,105.76 = 471,818.52/x
  3. Step 3: Cross multiply
    589,399.76x = 884,105.76 × 471,818.52
  4. Step 4: Simplify right side
    589,399.76x = 417,137,471,206.68
  5. Step 5: Solve for x
    x = 417,137,471,206.68/589,399.76
  6. Step 6: Final answer
    x = 707,732.68

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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.