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Finding the Fourth Proportional to 462,160.98, 637,782.66 and 280,824.66

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Solution

The fourth proportional to 462,160.98, 637,782.66 and 280,824.66 is: 387,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,160.98 : 637,782.66 = 280,824.66 : x
  2. Step 2: Convert to fraction form
    462,160.98/637,782.66 = 280,824.66/x
  3. Step 3: Cross multiply
    462,160.98x = 637,782.66 × 280,824.66
  4. Step 4: Simplify right side
    462,160.98x = 179,105,098,648.40
  5. Step 5: Solve for x
    x = 179,105,098,648.40/462,160.98
  6. Step 6: Final answer
    x = 387,538.34

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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.