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Finding the Fourth Proportional to 314,451.60, 471,677.40 and 156,987.60

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Solution

The fourth proportional to 314,451.60, 471,677.40 and 156,987.60 is: 235,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,451.60 : 471,677.40 = 156,987.60 : x
  2. Step 2: Convert to fraction form
    314,451.60/471,677.40 = 156,987.60/x
  3. Step 3: Cross multiply
    314,451.60x = 471,677.40 × 156,987.60
  4. Step 4: Simplify right side
    314,451.60x = 74,047,503,000.24
  5. Step 5: Solve for x
    x = 74,047,503,000.24/314,451.60
  6. Step 6: Final answer
    x = 235,481.40

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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.