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Finding the Fourth Proportional to 338,875.84, 467,657.31 and 185,920.57

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Solution

The fourth proportional to 338,875.84, 467,657.31 and 185,920.57 is: 256,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,875.84 : 467,657.31 = 185,920.57 : x
  2. Step 2: Convert to fraction form
    338,875.84/467,657.31 = 185,920.57/x
  3. Step 3: Cross multiply
    338,875.84x = 467,657.31 × 185,920.57
  4. Step 4: Simplify right side
    338,875.84x = 86,947,113,639.87
  5. Step 5: Solve for x
    x = 86,947,113,639.87/338,875.84
  6. Step 6: Final answer
    x = 256,575.13

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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.