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Finding the Fourth Proportional to 410,450.71, 615,142.02 and 167,008.07

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Solution

The fourth proportional to 410,450.71, 615,142.02 and 167,008.07 is: 250,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,450.71 : 615,142.02 = 167,008.07 : x
  2. Step 2: Convert to fraction form
    410,450.71/615,142.02 = 167,008.07/x
  3. Step 3: Cross multiply
    410,450.71x = 615,142.02 × 167,008.07
  4. Step 4: Simplify right side
    410,450.71x = 102,733,683,700.24
  5. Step 5: Solve for x
    x = 102,733,683,700.24/410,450.71
  6. Step 6: Final answer
    x = 250,294.81

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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.