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Finding the Fourth Proportional to 650,726.40, 974,188.80 and 464,102.40

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Solution

The fourth proportional to 650,726.40, 974,188.80 and 464,102.40 is: 694,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,726.40 : 974,188.80 = 464,102.40 : x
  2. Step 2: Convert to fraction form
    650,726.40/974,188.80 = 464,102.40/x
  3. Step 3: Cross multiply
    650,726.40x = 974,188.80 × 464,102.40
  4. Step 4: Simplify right side
    650,726.40x = 452,123,360,133.12
  5. Step 5: Solve for x
    x = 452,123,360,133.12/650,726.40
  6. Step 6: Final answer
    x = 694,797.94

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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.