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Finding the Fourth Proportional to 407,357.60, 611,255.10 and 170,724.20

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Solution

The fourth proportional to 407,357.60, 611,255.10 and 170,724.20 is: 256,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,357.60 : 611,255.10 = 170,724.20 : x
  2. Step 2: Convert to fraction form
    407,357.60/611,255.10 = 170,724.20/x
  3. Step 3: Cross multiply
    407,357.60x = 611,255.10 × 170,724.20
  4. Step 4: Simplify right side
    407,357.60x = 104,356,037,943.42
  5. Step 5: Solve for x
    x = 104,356,037,943.42/407,357.60
  6. Step 6: Final answer
    x = 256,177.96

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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.