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Finding the Fourth Proportional to 473,297.64, 710,289.02 and 185,151.78

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Solution

The fourth proportional to 473,297.64, 710,289.02 and 185,151.78 is: 277,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,297.64 : 710,289.02 = 185,151.78 : x
  2. Step 2: Convert to fraction form
    473,297.64/710,289.02 = 185,151.78/x
  3. Step 3: Cross multiply
    473,297.64x = 710,289.02 × 185,151.78
  4. Step 4: Simplify right side
    473,297.64x = 131,511,276,367.46
  5. Step 5: Solve for x
    x = 131,511,276,367.46/473,297.64
  6. Step 6: Final answer
    x = 277,861.68

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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.