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Finding the Fourth Proportional to 356,502.10, 534,493.95 and 146,031.70

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Solution

The fourth proportional to 356,502.10, 534,493.95 and 146,031.70 is: 218,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,502.10 : 534,493.95 = 146,031.70 : x
  2. Step 2: Convert to fraction form
    356,502.10/534,493.95 = 146,031.70/x
  3. Step 3: Cross multiply
    356,502.10x = 534,493.95 × 146,031.70
  4. Step 4: Simplify right side
    356,502.10x = 78,053,060,158.22
  5. Step 5: Solve for x
    x = 78,053,060,158.22/356,502.10
  6. Step 6: Final answer
    x = 218,941.38

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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.