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Finding the Fourth Proportional to 675,024.84, 1,012,387.13 and 195,147.83

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Solution

The fourth proportional to 675,024.84, 1,012,387.13 and 195,147.83 is: 292,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,024.84 : 1,012,387.13 = 195,147.83 : x
  2. Step 2: Convert to fraction form
    675,024.84/1,012,387.13 = 195,147.83/x
  3. Step 3: Cross multiply
    675,024.84x = 1,012,387.13 × 195,147.83
  4. Step 4: Simplify right side
    675,024.84x = 197,565,154,375.31
  5. Step 5: Solve for x
    x = 197,565,154,375.31/675,024.84
  6. Step 6: Final answer
    x = 292,678.35

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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.