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Finding the Fourth Proportional to 654,848.20, 903,151.38 and 386,317

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Solution

The fourth proportional to 654,848.20, 903,151.38 and 386,317 is: 532,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,848.20 : 903,151.38 = 386,317 : x
  2. Step 2: Convert to fraction form
    654,848.20/903,151.38 = 386,317/x
  3. Step 3: Cross multiply
    654,848.20x = 903,151.38 × 386,317
  4. Step 4: Simplify right side
    654,848.20x = 348,902,731,667.46
  5. Step 5: Solve for x
    x = 348,902,731,667.46/654,848.20
  6. Step 6: Final answer
    x = 532,799.41

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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.