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Finding the Fourth Proportional to 543,686.30, 815,638.80 and 455,550.20

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Solution

The fourth proportional to 543,686.30, 815,638.80 and 455,550.20 is: 683,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,686.30 : 815,638.80 = 455,550.20 : x
  2. Step 2: Convert to fraction form
    543,686.30/815,638.80 = 455,550.20/x
  3. Step 3: Cross multiply
    543,686.30x = 815,638.80 × 455,550.20
  4. Step 4: Simplify right side
    543,686.30x = 371,564,418,467.76
  5. Step 5: Solve for x
    x = 371,564,418,467.76/543,686.30
  6. Step 6: Final answer
    x = 683,416.92

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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.