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Finding the Fourth Proportional to 338,663.76, 467,363.16 and 185,705.52

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Solution

The fourth proportional to 338,663.76, 467,363.16 and 185,705.52 is: 256,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,663.76 : 467,363.16 = 185,705.52 : x
  2. Step 2: Convert to fraction form
    338,663.76/467,363.16 = 185,705.52/x
  3. Step 3: Cross multiply
    338,663.76x = 467,363.16 × 185,705.52
  4. Step 4: Simplify right side
    338,663.76x = 86,791,918,656.64
  5. Step 5: Solve for x
    x = 86,791,918,656.64/338,663.76
  6. Step 6: Final answer
    x = 256,277.55

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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.