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Finding the Fourth Proportional to 402,988.94, 604,354.70 and 133,066.82

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Solution

The fourth proportional to 402,988.94, 604,354.70 and 133,066.82 is: 199,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,988.94 : 604,354.70 = 133,066.82 : x
  2. Step 2: Convert to fraction form
    402,988.94/604,354.70 = 133,066.82/x
  3. Step 3: Cross multiply
    402,988.94x = 604,354.70 × 133,066.82
  4. Step 4: Simplify right side
    402,988.94x = 80,419,558,081.05
  5. Step 5: Solve for x
    x = 80,419,558,081.05/402,988.94
  6. Step 6: Final answer
    x = 199,557.73

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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.