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Finding the Fourth Proportional to 310,909.80, 466,364.70 and 274,168.20

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Solution

The fourth proportional to 310,909.80, 466,364.70 and 274,168.20 is: 411,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,909.80 : 466,364.70 = 274,168.20 : x
  2. Step 2: Convert to fraction form
    310,909.80/466,364.70 = 274,168.20/x
  3. Step 3: Cross multiply
    310,909.80x = 466,364.70 × 274,168.20
  4. Step 4: Simplify right side
    310,909.80x = 127,862,370,342.54
  5. Step 5: Solve for x
    x = 127,862,370,342.54/310,909.80
  6. Step 6: Final answer
    x = 411,252.30

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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.