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Finding the Fourth Proportional to 338,254.96, 466,775.38 and 185,294.06

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Solution

The fourth proportional to 338,254.96, 466,775.38 and 185,294.06 is: 255,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,254.96 : 466,775.38 = 185,294.06 : x
  2. Step 2: Convert to fraction form
    338,254.96/466,775.38 = 185,294.06/x
  3. Step 3: Cross multiply
    338,254.96x = 466,775.38 × 185,294.06
  4. Step 4: Simplify right side
    338,254.96x = 86,490,705,268.24
  5. Step 5: Solve for x
    x = 86,490,705,268.24/338,254.96
  6. Step 6: Final answer
    x = 255,696.78

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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.