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Finding the Fourth Proportional to 631,561.80, 871,941.42 and 411,009.24

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Solution

The fourth proportional to 631,561.80, 871,941.42 and 411,009.24 is: 567,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,561.80 : 871,941.42 = 411,009.24 : x
  2. Step 2: Convert to fraction form
    631,561.80/871,941.42 = 411,009.24/x
  3. Step 3: Cross multiply
    631,561.80x = 871,941.42 × 411,009.24
  4. Step 4: Simplify right side
    631,561.80x = 358,375,980,358.72
  5. Step 5: Solve for x
    x = 358,375,980,358.72/631,561.80
  6. Step 6: Final answer
    x = 567,444.04

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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.