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Finding the Fourth Proportional to 459,250, 688,884.50 and 167,119.82

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Solution

The fourth proportional to 459,250, 688,884.50 and 167,119.82 is: 250,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,250 : 688,884.50 = 167,119.82 : x
  2. Step 2: Convert to fraction form
    459,250/688,884.50 = 167,119.82/x
  3. Step 3: Cross multiply
    459,250x = 688,884.50 × 167,119.82
  4. Step 4: Simplify right side
    459,250x = 115,126,253,640.79
  5. Step 5: Solve for x
    x = 115,126,253,640.79/459,250
  6. Step 6: Final answer
    x = 250,683.19

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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.