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Finding the Fourth Proportional to 650,343.78, 975,099.42 and 312,712.02

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Solution

The fourth proportional to 650,343.78, 975,099.42 and 312,712.02 is: 468,867.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,343.78 : 975,099.42 = 312,712.02 : x
  2. Step 2: Convert to fraction form
    650,343.78/975,099.42 = 312,712.02/x
  3. Step 3: Cross multiply
    650,343.78x = 975,099.42 × 312,712.02
  4. Step 4: Simplify right side
    650,343.78x = 304,925,309,329.03
  5. Step 5: Solve for x
    x = 304,925,309,329.03/650,343.78
  6. Step 6: Final answer
    x = 468,867.88

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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.