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Finding the Fourth Proportional to 713,620.32, 984,787.92 and 411,807.84

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Solution

The fourth proportional to 713,620.32, 984,787.92 and 411,807.84 is: 568,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,620.32 : 984,787.92 = 411,807.84 : x
  2. Step 2: Convert to fraction form
    713,620.32/984,787.92 = 411,807.84/x
  3. Step 3: Cross multiply
    713,620.32x = 984,787.92 × 411,807.84
  4. Step 4: Simplify right side
    713,620.32x = 405,543,386,193.29
  5. Step 5: Solve for x
    x = 405,543,386,193.29/713,620.32
  6. Step 6: Final answer
    x = 568,290.13

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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.