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Finding the Fourth Proportional to 457,643.70, 686,271.15 and 221,058.90

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Solution

The fourth proportional to 457,643.70, 686,271.15 and 221,058.90 is: 331,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,643.70 : 686,271.15 = 221,058.90 : x
  2. Step 2: Convert to fraction form
    457,643.70/686,271.15 = 221,058.90/x
  3. Step 3: Cross multiply
    457,643.70x = 686,271.15 × 221,058.90
  4. Step 4: Simplify right side
    457,643.70x = 151,706,345,520.74
  5. Step 5: Solve for x
    x = 151,706,345,520.74/457,643.70
  6. Step 6: Final answer
    x = 331,494.45

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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.