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Finding the Fourth Proportional to 650,360.62, 975,877.31 and 471,917.24

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Solution

The fourth proportional to 650,360.62, 975,877.31 and 471,917.24 is: 708,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,360.62 : 975,877.31 = 471,917.24 : x
  2. Step 2: Convert to fraction form
    650,360.62/975,877.31 = 471,917.24/x
  3. Step 3: Cross multiply
    650,360.62x = 975,877.31 × 471,917.24
  4. Step 4: Simplify right side
    650,360.62x = 460,533,326,713.82
  5. Step 5: Solve for x
    x = 460,533,326,713.82/650,360.62
  6. Step 6: Final answer
    x = 708,119.95

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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.