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Finding the Fourth Proportional to 409,849.95, 565,591.82 and 228,562.08

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Solution

The fourth proportional to 409,849.95, 565,591.82 and 228,562.08 is: 315,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,849.95 : 565,591.82 = 228,562.08 : x
  2. Step 2: Convert to fraction form
    409,849.95/565,591.82 = 228,562.08/x
  3. Step 3: Cross multiply
    409,849.95x = 565,591.82 × 228,562.08
  4. Step 4: Simplify right side
    409,849.95x = 129,272,841,667.38
  5. Step 5: Solve for x
    x = 129,272,841,667.38/409,849.95
  6. Step 6: Final answer
    x = 315,415.05

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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.