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Finding the Fourth Proportional to 556,591.96, 768,097.11 and 314,869.42

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Solution

The fourth proportional to 556,591.96, 768,097.11 and 314,869.42 is: 434,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,591.96 : 768,097.11 = 314,869.42 : x
  2. Step 2: Convert to fraction form
    556,591.96/768,097.11 = 314,869.42/x
  3. Step 3: Cross multiply
    556,591.96x = 768,097.11 × 314,869.42
  4. Step 4: Simplify right side
    556,591.96x = 241,850,291,529.38
  5. Step 5: Solve for x
    x = 241,850,291,529.38/556,591.96
  6. Step 6: Final answer
    x = 434,519.92

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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.