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Finding the Fourth Proportional to 338,035, 466,493.80 and 185,070.64

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Solution

The fourth proportional to 338,035, 466,493.80 and 185,070.64 is: 255,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,035 : 466,493.80 = 185,070.64 : x
  2. Step 2: Convert to fraction form
    338,035/466,493.80 = 185,070.64/x
  3. Step 3: Cross multiply
    338,035x = 466,493.80 × 185,070.64
  4. Step 4: Simplify right side
    338,035x = 86,334,306,122.03
  5. Step 5: Solve for x
    x = 86,334,306,122.03/338,035
  6. Step 6: Final answer
    x = 255,400.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.