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Finding the Fourth Proportional to 735,165.60, 1,102,780.80 and 415,312.80

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Solution

The fourth proportional to 735,165.60, 1,102,780.80 and 415,312.80 is: 622,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,165.60 : 1,102,780.80 = 415,312.80 : x
  2. Step 2: Convert to fraction form
    735,165.60/1,102,780.80 = 415,312.80/x
  3. Step 3: Cross multiply
    735,165.60x = 1,102,780.80 × 415,312.80
  4. Step 4: Simplify right side
    735,165.60x = 457,998,981,834.24
  5. Step 5: Solve for x
    x = 457,998,981,834.24/735,165.60
  6. Step 6: Final answer
    x = 622,987.50

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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.