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Finding the Fourth Proportional to 546,591.16, 819,624.30 and 309,870.28

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Solution

The fourth proportional to 546,591.16, 819,624.30 and 309,870.28 is: 464,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,591.16 : 819,624.30 = 309,870.28 : x
  2. Step 2: Convert to fraction form
    546,591.16/819,624.30 = 309,870.28/x
  3. Step 3: Cross multiply
    546,591.16x = 819,624.30 × 309,870.28
  4. Step 4: Simplify right side
    546,591.16x = 253,977,211,335.80
  5. Step 5: Solve for x
    x = 253,977,211,335.80/546,591.16
  6. Step 6: Final answer
    x = 464,656.64

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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.