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Finding the Fourth Proportional to 275,624.60, 413,043.30 and 157,045.40

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Solution

The fourth proportional to 275,624.60, 413,043.30 and 157,045.40 is: 235,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,624.60 : 413,043.30 = 157,045.40 : x
  2. Step 2: Convert to fraction form
    275,624.60/413,043.30 = 157,045.40/x
  3. Step 3: Cross multiply
    275,624.60x = 413,043.30 × 157,045.40
  4. Step 4: Simplify right side
    275,624.60x = 64,866,550,265.82
  5. Step 5: Solve for x
    x = 64,866,550,265.82/275,624.60
  6. Step 6: Final answer
    x = 235,343.83

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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.