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Finding the Fourth Proportional to 750,169, 1,125,253.50 and 224,857

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Solution

The fourth proportional to 750,169, 1,125,253.50 and 224,857 is: 337,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,169 : 1,125,253.50 = 224,857 : x
  2. Step 2: Convert to fraction form
    750,169/1,125,253.50 = 224,857/x
  3. Step 3: Cross multiply
    750,169x = 1,125,253.50 × 224,857
  4. Step 4: Simplify right side
    750,169x = 253,021,126,249.50
  5. Step 5: Solve for x
    x = 253,021,126,249.50/750,169
  6. Step 6: Final answer
    x = 337,285.50

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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.