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Finding the Fourth Proportional to 473,927.85, 654,020.28 and 259,068.78

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Solution

The fourth proportional to 473,927.85, 654,020.28 and 259,068.78 is: 357,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,927.85 : 654,020.28 = 259,068.78 : x
  2. Step 2: Convert to fraction form
    473,927.85/654,020.28 = 259,068.78/x
  3. Step 3: Cross multiply
    473,927.85x = 654,020.28 × 259,068.78
  4. Step 4: Simplify right side
    473,927.85x = 169,436,236,034.86
  5. Step 5: Solve for x
    x = 169,436,236,034.86/473,927.85
  6. Step 6: Final answer
    x = 357,514.83

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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.