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Finding the Fourth Proportional to 385,823.62, 532,421.67 and 216,049.06

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Solution

The fourth proportional to 385,823.62, 532,421.67 and 216,049.06 is: 298,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,823.62 : 532,421.67 = 216,049.06 : x
  2. Step 2: Convert to fraction form
    385,823.62/532,421.67 = 216,049.06/x
  3. Step 3: Cross multiply
    385,823.62x = 532,421.67 × 216,049.06
  4. Step 4: Simplify right side
    385,823.62x = 115,029,201,327.13
  5. Step 5: Solve for x
    x = 115,029,201,327.13/385,823.62
  6. Step 6: Final answer
    x = 298,139.34

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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.