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Finding the Fourth Proportional to 713,224.95, 984,351.24 and 441,380.40

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Solution

The fourth proportional to 713,224.95, 984,351.24 and 441,380.40 is: 609,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,224.95 : 984,351.24 = 441,380.40 : x
  2. Step 2: Convert to fraction form
    713,224.95/984,351.24 = 441,380.40/x
  3. Step 3: Cross multiply
    713,224.95x = 984,351.24 × 441,380.40
  4. Step 4: Simplify right side
    713,224.95x = 434,473,344,051.70
  5. Step 5: Solve for x
    x = 434,473,344,051.70/713,224.95
  6. Step 6: Final answer
    x = 609,167.34

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Double scale
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1.5x scale

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.