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Finding the Fourth Proportional to 291,677, 402,514.53 and 157,541

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Solution

The fourth proportional to 291,677, 402,514.53 and 157,541 is: 217,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,677 : 402,514.53 = 157,541 : x
  2. Step 2: Convert to fraction form
    291,677/402,514.53 = 157,541/x
  3. Step 3: Cross multiply
    291,677x = 402,514.53 × 157,541
  4. Step 4: Simplify right side
    291,677x = 63,412,541,570.73
  5. Step 5: Solve for x
    x = 63,412,541,570.73/291,677
  6. Step 6: Final answer
    x = 217,406.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.