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Finding the Fourth Proportional to 713,115, 984,098.70 and 426,647.16

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Solution

The fourth proportional to 713,115, 984,098.70 and 426,647.16 is: 588,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,115 : 984,098.70 = 426,647.16 : x
  2. Step 2: Convert to fraction form
    713,115/984,098.70 = 426,647.16/x
  3. Step 3: Cross multiply
    713,115x = 984,098.70 × 426,647.16
  4. Step 4: Simplify right side
    713,115x = 419,862,915,514.69
  5. Step 5: Solve for x
    x = 419,862,915,514.69/713,115
  6. Step 6: Final answer
    x = 588,773.08

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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.