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Finding the Fourth Proportional to 356,494.60, 534,665.10 and 156,814.60

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Solution

The fourth proportional to 356,494.60, 534,665.10 and 156,814.60 is: 235,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,494.60 : 534,665.10 = 156,814.60 : x
  2. Step 2: Convert to fraction form
    356,494.60/534,665.10 = 156,814.60/x
  3. Step 3: Cross multiply
    356,494.60x = 534,665.10 × 156,814.60
  4. Step 4: Simplify right side
    356,494.60x = 83,843,293,790.46
  5. Step 5: Solve for x
    x = 83,843,293,790.46/356,494.60
  6. Step 6: Final answer
    x = 235,188.12

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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.