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Finding the Fourth Proportional to 472,439.40, 708,659.10 and 410,231.40

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Solution

The fourth proportional to 472,439.40, 708,659.10 and 410,231.40 is: 615,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,439.40 : 708,659.10 = 410,231.40 : x
  2. Step 2: Convert to fraction form
    472,439.40/708,659.10 = 410,231.40/x
  3. Step 3: Cross multiply
    472,439.40x = 708,659.10 × 410,231.40
  4. Step 4: Simplify right side
    472,439.40x = 290,714,214,715.74
  5. Step 5: Solve for x
    x = 290,714,214,715.74/472,439.40
  6. Step 6: Final answer
    x = 615,347.10

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Similar ratio
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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.