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Finding the Fourth Proportional to 543,886.30, 815,829.45 and 463,404.70

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Solution

The fourth proportional to 543,886.30, 815,829.45 and 463,404.70 is: 695,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,886.30 : 815,829.45 = 463,404.70 : x
  2. Step 2: Convert to fraction form
    543,886.30/815,829.45 = 463,404.70/x
  3. Step 3: Cross multiply
    543,886.30x = 815,829.45 × 463,404.70
  4. Step 4: Simplify right side
    543,886.30x = 378,059,201,528.42
  5. Step 5: Solve for x
    x = 378,059,201,528.42/543,886.30
  6. Step 6: Final answer
    x = 695,107.05

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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.