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Finding the Fourth Proportional to 713,047.40, 984,005.46 and 411,241.40

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Solution

The fourth proportional to 713,047.40, 984,005.46 and 411,241.40 is: 567,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,047.40 : 984,005.46 = 411,241.40 : x
  2. Step 2: Convert to fraction form
    713,047.40/984,005.46 = 411,241.40/x
  3. Step 3: Cross multiply
    713,047.40x = 984,005.46 × 411,241.40
  4. Step 4: Simplify right side
    713,047.40x = 404,663,782,978.04
  5. Step 5: Solve for x
    x = 404,663,782,978.04/713,047.40
  6. Step 6: Final answer
    x = 567,513.16

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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.