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Finding the Fourth Proportional to 615,946, 923,919 and 149,002

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Solution

The fourth proportional to 615,946, 923,919 and 149,002 is: 223,503

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,946 : 923,919 = 149,002 : x
  2. Step 2: Convert to fraction form
    615,946/923,919 = 149,002/x
  3. Step 3: Cross multiply
    615,946x = 923,919 × 149,002
  4. Step 4: Simplify right side
    615,946x = 137,665,778,838
  5. Step 5: Solve for x
    x = 137,665,778,838/615,946
  6. Step 6: Final answer
    x = 223,503

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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.