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Finding the Fourth Proportional to 632,024.24, 871,673.82 and 450,678.20

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Solution

The fourth proportional to 632,024.24, 871,673.82 and 450,678.20 is: 621,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,024.24 : 871,673.82 = 450,678.20 : x
  2. Step 2: Convert to fraction form
    632,024.24/871,673.82 = 450,678.20/x
  3. Step 3: Cross multiply
    632,024.24x = 871,673.82 × 450,678.20
  4. Step 4: Simplify right side
    632,024.24x = 392,844,388,184.72
  5. Step 5: Solve for x
    x = 392,844,388,184.72/632,024.24
  6. Step 6: Final answer
    x = 621,565.38

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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.