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Finding the Fourth Proportional to 650,882.40, 974,422.80 and 464,258.40

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Solution

The fourth proportional to 650,882.40, 974,422.80 and 464,258.40 is: 695,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,882.40 : 974,422.80 = 464,258.40 : x
  2. Step 2: Convert to fraction form
    650,882.40/974,422.80 = 464,258.40/x
  3. Step 3: Cross multiply
    650,882.40x = 974,422.80 × 464,258.40
  4. Step 4: Simplify right side
    650,882.40x = 452,383,970,051.52
  5. Step 5: Solve for x
    x = 452,383,970,051.52/650,882.40
  6. Step 6: Final answer
    x = 695,031.81

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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.