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Finding the Fourth Proportional to 423,039.82, 583,794.98 and 232,053.70

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Solution

The fourth proportional to 423,039.82, 583,794.98 and 232,053.70 is: 320,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,039.82 : 583,794.98 = 232,053.70 : x
  2. Step 2: Convert to fraction form
    423,039.82/583,794.98 = 232,053.70/x
  3. Step 3: Cross multiply
    423,039.82x = 583,794.98 × 232,053.70
  4. Step 4: Simplify right side
    423,039.82x = 135,471,781,071.18
  5. Step 5: Solve for x
    x = 135,471,781,071.18/423,039.82
  6. Step 6: Final answer
    x = 320,234.12

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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.