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Finding the Fourth Proportional to 410,451.71, 615,143.52 and 167,009.07

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Solution

The fourth proportional to 410,451.71, 615,143.52 and 167,009.07 is: 250,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,451.71 : 615,143.52 = 167,009.07 : x
  2. Step 2: Convert to fraction form
    410,451.71/615,143.52 = 167,009.07/x
  3. Step 3: Cross multiply
    410,451.71x = 615,143.52 × 167,009.07
  4. Step 4: Simplify right side
    410,451.71x = 102,734,547,191.73
  5. Step 5: Solve for x
    x = 102,734,547,191.73/410,451.71
  6. Step 6: Final answer
    x = 250,296.31

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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.