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Finding the Fourth Proportional to 464,691.52, 697,128.04 and 149,124.16

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Solution

The fourth proportional to 464,691.52, 697,128.04 and 149,124.16 is: 223,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,691.52 : 697,128.04 = 149,124.16 : x
  2. Step 2: Convert to fraction form
    464,691.52/697,128.04 = 149,124.16/x
  3. Step 3: Cross multiply
    464,691.52x = 697,128.04 × 149,124.16
  4. Step 4: Simplify right side
    464,691.52x = 103,958,633,377.45
  5. Step 5: Solve for x
    x = 103,958,633,377.45/464,691.52
  6. Step 6: Final answer
    x = 223,715.37

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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.