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Finding the Fourth Proportional to 356,503.10, 534,495.45 and 146,032.70

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Solution

The fourth proportional to 356,503.10, 534,495.45 and 146,032.70 is: 218,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,503.10 : 534,495.45 = 146,032.70 : x
  2. Step 2: Convert to fraction form
    356,503.10/534,495.45 = 146,032.70/x
  3. Step 3: Cross multiply
    356,503.10x = 534,495.45 × 146,032.70
  4. Step 4: Simplify right side
    356,503.10x = 78,053,813,701.22
  5. Step 5: Solve for x
    x = 78,053,813,701.22/356,503.10
  6. Step 6: Final answer
    x = 218,942.88

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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.