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Finding the Fourth Proportional to 474,502.90, 654,828.70 and 259,652.02

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Solution

The fourth proportional to 474,502.90, 654,828.70 and 259,652.02 is: 358,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,502.90 : 654,828.70 = 259,652.02 : x
  2. Step 2: Convert to fraction form
    474,502.90/654,828.70 = 259,652.02/x
  3. Step 3: Cross multiply
    474,502.90x = 654,828.70 × 259,652.02
  4. Step 4: Simplify right side
    474,502.90x = 170,027,594,708.97
  5. Step 5: Solve for x
    x = 170,027,594,708.97/474,502.90
  6. Step 6: Final answer
    x = 358,327.83

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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.