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Finding the Fourth Proportional to 657,678.38, 907,747.82 and 385,833.60

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Solution

The fourth proportional to 657,678.38, 907,747.82 and 385,833.60 is: 532,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,678.38 : 907,747.82 = 385,833.60 : x
  2. Step 2: Convert to fraction form
    657,678.38/907,747.82 = 385,833.60/x
  3. Step 3: Cross multiply
    657,678.38x = 907,747.82 × 385,833.60
  4. Step 4: Simplify right side
    657,678.38x = 350,239,609,282.75
  5. Step 5: Solve for x
    x = 350,239,609,282.75/657,678.38
  6. Step 6: Final answer
    x = 532,539.34

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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.