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Finding the Fourth Proportional to 314,423.60, 471,635.40 and 156,959.60

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Solution

The fourth proportional to 314,423.60, 471,635.40 and 156,959.60 is: 235,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,423.60 : 471,635.40 = 156,959.60 : x
  2. Step 2: Convert to fraction form
    314,423.60/471,635.40 = 156,959.60/x
  3. Step 3: Cross multiply
    314,423.60x = 471,635.40 × 156,959.60
  4. Step 4: Simplify right side
    314,423.60x = 74,027,703,729.84
  5. Step 5: Solve for x
    x = 74,027,703,729.84/314,423.60
  6. Step 6: Final answer
    x = 235,439.40

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1.5x scale

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.