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Finding the Fourth Proportional to 385,824.62, 532,423.05 and 216,050.06

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Solution

The fourth proportional to 385,824.62, 532,423.05 and 216,050.06 is: 298,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,824.62 : 532,423.05 = 216,050.06 : x
  2. Step 2: Convert to fraction form
    385,824.62/532,423.05 = 216,050.06/x
  3. Step 3: Cross multiply
    385,824.62x = 532,423.05 × 216,050.06
  4. Step 4: Simplify right side
    385,824.62x = 115,030,031,897.88
  5. Step 5: Solve for x
    x = 115,030,031,897.88/385,824.62
  6. Step 6: Final answer
    x = 298,140.72

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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.