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Finding the Fourth Proportional to 473,760.06, 654,480.34 and 409,987.14

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Solution

The fourth proportional to 473,760.06, 654,480.34 and 409,987.14 is: 566,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,760.06 : 654,480.34 = 409,987.14 : x
  2. Step 2: Convert to fraction form
    473,760.06/654,480.34 = 409,987.14/x
  3. Step 3: Cross multiply
    473,760.06x = 654,480.34 × 409,987.14
  4. Step 4: Simplify right side
    473,760.06x = 268,328,522,782.83
  5. Step 5: Solve for x
    x = 268,328,522,782.83/473,760.06
  6. Step 6: Final answer
    x = 566,380.63

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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.