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Finding the Fourth Proportional to 314,439.60, 471,659.40 and 156,975.60

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Solution

The fourth proportional to 314,439.60, 471,659.40 and 156,975.60 is: 235,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,439.60 : 471,659.40 = 156,975.60 : x
  2. Step 2: Convert to fraction form
    314,439.60/471,659.40 = 156,975.60/x
  3. Step 3: Cross multiply
    314,439.60x = 471,659.40 × 156,975.60
  4. Step 4: Simplify right side
    314,439.60x = 74,039,017,310.64
  5. Step 5: Solve for x
    x = 74,039,017,310.64/314,439.60
  6. Step 6: Final answer
    x = 235,463.40

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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.