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Finding the Fourth Proportional to 545,740.38, 753,144.33 and 304,022.82

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Solution

The fourth proportional to 545,740.38, 753,144.33 and 304,022.82 is: 419,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,740.38 : 753,144.33 = 304,022.82 : x
  2. Step 2: Convert to fraction form
    545,740.38/753,144.33 = 304,022.82/x
  3. Step 3: Cross multiply
    545,740.38x = 753,144.33 × 304,022.82
  4. Step 4: Simplify right side
    545,740.38x = 228,973,063,073.61
  5. Step 5: Solve for x
    x = 228,973,063,073.61/545,740.38
  6. Step 6: Final answer
    x = 419,564.08

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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.