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Finding the Fourth Proportional to 482,459.40, 723,689.10 and 450,966.60

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Solution

The fourth proportional to 482,459.40, 723,689.10 and 450,966.60 is: 676,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,459.40 : 723,689.10 = 450,966.60 : x
  2. Step 2: Convert to fraction form
    482,459.40/723,689.10 = 450,966.60/x
  3. Step 3: Cross multiply
    482,459.40x = 723,689.10 × 450,966.60
  4. Step 4: Simplify right side
    482,459.40x = 326,359,612,884.06
  5. Step 5: Solve for x
    x = 326,359,612,884.06/482,459.40
  6. Step 6: Final answer
    x = 676,449.90

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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.