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Finding the Fourth Proportional to 463,713.40, 694,014.90 and 407,726.20

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Solution

The fourth proportional to 463,713.40, 694,014.90 and 407,726.20 is: 610,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,713.40 : 694,014.90 = 407,726.20 : x
  2. Step 2: Convert to fraction form
    463,713.40/694,014.90 = 407,726.20/x
  3. Step 3: Cross multiply
    463,713.40x = 694,014.90 × 407,726.20
  4. Step 4: Simplify right side
    463,713.40x = 282,968,057,920.38
  5. Step 5: Solve for x
    x = 282,968,057,920.38/463,713.40
  6. Step 6: Final answer
    x = 610,221.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.