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Finding the Fourth Proportional to 577,603.80, 866,405.70 and 409,642.20

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Solution

The fourth proportional to 577,603.80, 866,405.70 and 409,642.20 is: 614,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,603.80 : 866,405.70 = 409,642.20 : x
  2. Step 2: Convert to fraction form
    577,603.80/866,405.70 = 409,642.20/x
  3. Step 3: Cross multiply
    577,603.80x = 866,405.70 × 409,642.20
  4. Step 4: Simplify right side
    577,603.80x = 354,916,337,040.54
  5. Step 5: Solve for x
    x = 354,916,337,040.54/577,603.80
  6. Step 6: Final answer
    x = 614,463.30

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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.