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Finding the Fourth Proportional to 458,531.80, 687,797.70 and 309,232.60

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Solution

The fourth proportional to 458,531.80, 687,797.70 and 309,232.60 is: 463,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,531.80 : 687,797.70 = 309,232.60 : x
  2. Step 2: Convert to fraction form
    458,531.80/687,797.70 = 309,232.60/x
  3. Step 3: Cross multiply
    458,531.80x = 687,797.70 × 309,232.60
  4. Step 4: Simplify right side
    458,531.80x = 212,689,471,045.02
  5. Step 5: Solve for x
    x = 212,689,471,045.02/458,531.80
  6. Step 6: Final answer
    x = 463,848.90

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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.