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Finding the Fourth Proportional to 750,168, 1,125,252 and 224,856

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Solution

The fourth proportional to 750,168, 1,125,252 and 224,856 is: 337,284

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,168 : 1,125,252 = 224,856 : x
  2. Step 2: Convert to fraction form
    750,168/1,125,252 = 224,856/x
  3. Step 3: Cross multiply
    750,168x = 1,125,252 × 224,856
  4. Step 4: Simplify right side
    750,168x = 253,019,663,712
  5. Step 5: Solve for x
    x = 253,019,663,712/750,168
  6. Step 6: Final answer
    x = 337,284

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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.