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Finding the Fourth Proportional to 434,265.60, 651,301.20 and 285,549.60

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Solution

The fourth proportional to 434,265.60, 651,301.20 and 285,549.60 is: 428,260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,265.60 : 651,301.20 = 285,549.60 : x
  2. Step 2: Convert to fraction form
    434,265.60/651,301.20 = 285,549.60/x
  3. Step 3: Cross multiply
    434,265.60x = 651,301.20 × 285,549.60
  4. Step 4: Simplify right side
    434,265.60x = 185,978,797,139.52
  5. Step 5: Solve for x
    x = 185,978,797,139.52/434,265.60
  6. Step 6: Final answer
    x = 428,260.49

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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.