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Finding the Fourth Proportional to 375,585.52, 563,404.29 and 150,946.15

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Solution

The fourth proportional to 375,585.52, 563,404.29 and 150,946.15 is: 226,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,585.52 : 563,404.29 = 150,946.15 : x
  2. Step 2: Convert to fraction form
    375,585.52/563,404.29 = 150,946.15/x
  3. Step 3: Cross multiply
    375,585.52x = 563,404.29 × 150,946.15
  4. Step 4: Simplify right side
    375,585.52x = 85,043,708,468.98
  5. Step 5: Solve for x
    x = 85,043,708,468.98/375,585.52
  6. Step 6: Final answer
    x = 226,429.68

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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.