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Finding the Fourth Proportional to 631,641.02, 871,062.17 and 413,524.22

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Solution

The fourth proportional to 631,641.02, 871,062.17 and 413,524.22 is: 570,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,641.02 : 871,062.17 = 413,524.22 : x
  2. Step 2: Convert to fraction form
    631,641.02/871,062.17 = 413,524.22/x
  3. Step 3: Cross multiply
    631,641.02x = 871,062.17 × 413,524.22
  4. Step 4: Simplify right side
    631,641.02x = 360,205,297,997.83
  5. Step 5: Solve for x
    x = 360,205,297,997.83/631,641.02
  6. Step 6: Final answer
    x = 570,269.01

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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.