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Finding the Fourth Proportional to 814,841.54, 1,223,462.14 and 455,716

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Solution

The fourth proportional to 814,841.54, 1,223,462.14 and 455,716 is: 684,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,841.54 : 1,223,462.14 = 455,716 : x
  2. Step 2: Convert to fraction form
    814,841.54/1,223,462.14 = 455,716/x
  3. Step 3: Cross multiply
    814,841.54x = 1,223,462.14 × 455,716
  4. Step 4: Simplify right side
    814,841.54x = 557,551,272,592.24
  5. Step 5: Solve for x
    x = 557,551,272,592.24/814,841.54
  6. Step 6: Final answer
    x = 684,245.03

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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.