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Finding the Fourth Proportional to 338,041, 466,502.08 and 185,076.64

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Solution

The fourth proportional to 338,041, 466,502.08 and 185,076.64 is: 255,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,041 : 466,502.08 = 185,076.64 : x
  2. Step 2: Convert to fraction form
    338,041/466,502.08 = 185,076.64/x
  3. Step 3: Cross multiply
    338,041x = 466,502.08 × 185,076.64
  4. Step 4: Simplify right side
    338,041x = 86,338,637,519.41
  5. Step 5: Solve for x
    x = 86,338,637,519.41/338,041
  6. Step 6: Final answer
    x = 255,408.77

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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.