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Finding the Fourth Proportional to 375,153.24, 517,724.10 and 205,390.92

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Solution

The fourth proportional to 375,153.24, 517,724.10 and 205,390.92 is: 283,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,153.24 : 517,724.10 = 205,390.92 : x
  2. Step 2: Convert to fraction form
    375,153.24/517,724.10 = 205,390.92/x
  3. Step 3: Cross multiply
    375,153.24x = 517,724.10 × 205,390.92
  4. Step 4: Simplify right side
    375,153.24x = 106,335,829,205.17
  5. Step 5: Solve for x
    x = 106,335,829,205.17/375,153.24
  6. Step 6: Final answer
    x = 283,446.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.