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Finding the Fourth Proportional to 924,776, 1,387,164 and 224,360

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Solution

The fourth proportional to 924,776, 1,387,164 and 224,360 is: 336,540

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,776 : 1,387,164 = 224,360 : x
  2. Step 2: Convert to fraction form
    924,776/1,387,164 = 224,360/x
  3. Step 3: Cross multiply
    924,776x = 1,387,164 × 224,360
  4. Step 4: Simplify right side
    924,776x = 311,224,115,040
  5. Step 5: Solve for x
    x = 311,224,115,040/924,776
  6. Step 6: Final answer
    x = 336,540

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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.