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Finding the Fourth Proportional to 713,268.65, 984,411.45 and 441,424.10

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Solution

The fourth proportional to 713,268.65, 984,411.45 and 441,424.10 is: 609,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,268.65 : 984,411.45 = 441,424.10 : x
  2. Step 2: Convert to fraction form
    713,268.65/984,411.45 = 441,424.10/x
  3. Step 3: Cross multiply
    713,268.65x = 984,411.45 × 441,424.10
  4. Step 4: Simplify right side
    713,268.65x = 434,542,933,423.89
  5. Step 5: Solve for x
    x = 434,542,933,423.89/713,268.65
  6. Step 6: Final answer
    x = 609,227.58

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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.