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Finding the Fourth Proportional to 574,486.16, 862,122.84 and 200,509.16

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Solution

The fourth proportional to 574,486.16, 862,122.84 and 200,509.16 is: 300,901.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,486.16 : 862,122.84 = 200,509.16 : x
  2. Step 2: Convert to fraction form
    574,486.16/862,122.84 = 200,509.16/x
  3. Step 3: Cross multiply
    574,486.16x = 862,122.84 × 200,509.16
  4. Step 4: Simplify right side
    574,486.16x = 172,863,526,465.21
  5. Step 5: Solve for x
    x = 172,863,526,465.21/574,486.16
  6. Step 6: Final answer
    x = 300,901.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.