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Finding the Fourth Proportional to 467,902.82, 645,707.84 and 253,042.89

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Solution

The fourth proportional to 467,902.82, 645,707.84 and 253,042.89 is: 349,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,902.82 : 645,707.84 = 253,042.89 : x
  2. Step 2: Convert to fraction form
    467,902.82/645,707.84 = 253,042.89/x
  3. Step 3: Cross multiply
    467,902.82x = 645,707.84 × 253,042.89
  4. Step 4: Simplify right side
    467,902.82x = 163,391,773,751.81
  5. Step 5: Solve for x
    x = 163,391,773,751.81/467,902.82
  6. Step 6: Final answer
    x = 349,200.23

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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.