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Finding the Fourth Proportional to 315,502.68, 473,254.02 and 167,724.12

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Solution

The fourth proportional to 315,502.68, 473,254.02 and 167,724.12 is: 251,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,502.68 : 473,254.02 = 167,724.12 : x
  2. Step 2: Convert to fraction form
    315,502.68/473,254.02 = 167,724.12/x
  3. Step 3: Cross multiply
    315,502.68x = 473,254.02 × 167,724.12
  4. Step 4: Simplify right side
    315,502.68x = 79,376,114,040.96
  5. Step 5: Solve for x
    x = 79,376,114,040.96/315,502.68
  6. Step 6: Final answer
    x = 251,586.18

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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.