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Finding the Fourth Proportional to 385,530.20, 532,369.50 and 242,538.20

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Solution

The fourth proportional to 385,530.20, 532,369.50 and 242,538.20 is: 334,915.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,530.20 : 532,369.50 = 242,538.20 : x
  2. Step 2: Convert to fraction form
    385,530.20/532,369.50 = 242,538.20/x
  3. Step 3: Cross multiply
    385,530.20x = 532,369.50 × 242,538.20
  4. Step 4: Simplify right side
    385,530.20x = 129,119,940,264.90
  5. Step 5: Solve for x
    x = 129,119,940,264.90/385,530.20
  6. Step 6: Final answer
    x = 334,915.24

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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.