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Finding the Fourth Proportional to 474,562.30, 654,893.41 and 259,701.85

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Solution

The fourth proportional to 474,562.30, 654,893.41 and 259,701.85 is: 358,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,562.30 : 654,893.41 = 259,701.85 : x
  2. Step 2: Convert to fraction form
    474,562.30/654,893.41 = 259,701.85/x
  3. Step 3: Cross multiply
    474,562.30x = 654,893.41 × 259,701.85
  4. Step 4: Simplify right side
    474,562.30x = 170,077,030,129.81
  5. Step 5: Solve for x
    x = 170,077,030,129.81/474,562.30
  6. Step 6: Final answer
    x = 358,387.15

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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.