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Finding the Fourth Proportional to 604,097.31, 906,125.43 and 154,822.59

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Solution

The fourth proportional to 604,097.31, 906,125.43 and 154,822.59 is: 232,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,097.31 : 906,125.43 = 154,822.59 : x
  2. Step 2: Convert to fraction form
    604,097.31/906,125.43 = 154,822.59/x
  3. Step 3: Cross multiply
    604,097.31x = 906,125.43 × 154,822.59
  4. Step 4: Simplify right side
    604,097.31x = 140,288,685,937.46
  5. Step 5: Solve for x
    x = 140,288,685,937.46/604,097.31
  6. Step 6: Final answer
    x = 232,228.62

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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.