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Finding the Fourth Proportional to 472,898.59, 709,343.21 and 216,658.47

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Solution

The fourth proportional to 472,898.59, 709,343.21 and 216,658.47 is: 324,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,898.59 : 709,343.21 = 216,658.47 : x
  2. Step 2: Convert to fraction form
    472,898.59/709,343.21 = 216,658.47/x
  3. Step 3: Cross multiply
    472,898.59x = 709,343.21 × 216,658.47
  4. Step 4: Simplify right side
    472,898.59x = 153,685,214,583.49
  5. Step 5: Solve for x
    x = 153,685,214,583.49/472,898.59
  6. Step 6: Final answer
    x = 324,985.56

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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.