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Finding the Fourth Proportional to 768,033.60, 1,153,432.80 and 743,150.40

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Solution

The fourth proportional to 768,033.60, 1,153,432.80 and 743,150.40 is: 1,116,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,033.60 : 1,153,432.80 = 743,150.40 : x
  2. Step 2: Convert to fraction form
    768,033.60/1,153,432.80 = 743,150.40/x
  3. Step 3: Cross multiply
    768,033.60x = 1,153,432.80 × 743,150.40
  4. Step 4: Simplify right side
    768,033.60x = 857,174,046,693.12
  5. Step 5: Solve for x
    x = 857,174,046,693.12/768,033.60
  6. Step 6: Final answer
    x = 1,116,063.21

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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.