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Finding the Fourth Proportional to 713,048.40, 984,006.84 and 411,242.40

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Solution

The fourth proportional to 713,048.40, 984,006.84 and 411,242.40 is: 567,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,048.40 : 984,006.84 = 411,242.40 : x
  2. Step 2: Convert to fraction form
    713,048.40/984,006.84 = 411,242.40/x
  3. Step 3: Cross multiply
    713,048.40x = 984,006.84 × 411,242.40
  4. Step 4: Simplify right side
    713,048.40x = 404,665,334,498.02
  5. Step 5: Solve for x
    x = 404,665,334,498.02/713,048.40
  6. Step 6: Final answer
    x = 567,514.54

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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.