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Finding the Fourth Proportional to 310,930.60, 466,280.70 and 100,575.40

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Solution

The fourth proportional to 310,930.60, 466,280.70 and 100,575.40 is: 150,825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,930.60 : 466,280.70 = 100,575.40 : x
  2. Step 2: Convert to fraction form
    310,930.60/466,280.70 = 100,575.40/x
  3. Step 3: Cross multiply
    310,930.60x = 466,280.70 × 100,575.40
  4. Step 4: Simplify right side
    310,930.60x = 46,896,367,914.78
  5. Step 5: Solve for x
    x = 46,896,367,914.78/310,930.60
  6. Step 6: Final answer
    x = 150,825.84

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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.