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Finding the Fourth Proportional to 338,525.20, 466,952.34 and 217,823.32

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Solution

The fourth proportional to 338,525.20, 466,952.34 and 217,823.32 is: 300,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,525.20 : 466,952.34 = 217,823.32 : x
  2. Step 2: Convert to fraction form
    338,525.20/466,952.34 = 217,823.32/x
  3. Step 3: Cross multiply
    338,525.20x = 466,952.34 × 217,823.32
  4. Step 4: Simplify right side
    338,525.20x = 101,713,108,980.57
  5. Step 5: Solve for x
    x = 101,713,108,980.57/338,525.20
  6. Step 6: Final answer
    x = 300,459.49

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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.