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Finding the Fourth Proportional to 310,915.60, 466,565.40 and 123,907.60

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Solution

The fourth proportional to 310,915.60, 466,565.40 and 123,907.60 is: 185,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,915.60 : 466,565.40 = 123,907.60 : x
  2. Step 2: Convert to fraction form
    310,915.60/466,565.40 = 123,907.60/x
  3. Step 3: Cross multiply
    310,915.60x = 466,565.40 × 123,907.60
  4. Step 4: Simplify right side
    310,915.60x = 57,810,998,957.04
  5. Step 5: Solve for x
    x = 57,810,998,957.04/310,915.60
  6. Step 6: Final answer
    x = 185,937.92

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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.