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Finding the Fourth Proportional to 375,226.38, 517,813.24 and 203,146.16

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Solution

The fourth proportional to 375,226.38, 517,813.24 and 203,146.16 is: 280,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,226.38 : 517,813.24 = 203,146.16 : x
  2. Step 2: Convert to fraction form
    375,226.38/517,813.24 = 203,146.16/x
  3. Step 3: Cross multiply
    375,226.38x = 517,813.24 × 203,146.16
  4. Step 4: Simplify right side
    375,226.38x = 105,191,771,303.16
  5. Step 5: Solve for x
    x = 105,191,771,303.16/375,226.38
  6. Step 6: Final answer
    x = 280,342.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.