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Finding the Fourth Proportional to 461,726.40, 692,524.80 and 146,215.20

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Solution

The fourth proportional to 461,726.40, 692,524.80 and 146,215.20 is: 219,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,726.40 : 692,524.80 = 146,215.20 : x
  2. Step 2: Convert to fraction form
    461,726.40/692,524.80 = 146,215.20/x
  3. Step 3: Cross multiply
    461,726.40x = 692,524.80 × 146,215.20
  4. Step 4: Simplify right side
    461,726.40x = 101,257,652,136.96
  5. Step 5: Solve for x
    x = 101,257,652,136.96/461,726.40
  6. Step 6: Final answer
    x = 219,302.28

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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.