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Finding the Fourth Proportional to 317,815.28, 438,459.72 and 204,703.64

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Solution

The fourth proportional to 317,815.28, 438,459.72 and 204,703.64 is: 282,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,815.28 : 438,459.72 = 204,703.64 : x
  2. Step 2: Convert to fraction form
    317,815.28/438,459.72 = 204,703.64/x
  3. Step 3: Cross multiply
    317,815.28x = 438,459.72 × 204,703.64
  4. Step 4: Simplify right side
    317,815.28x = 89,754,300,677.38
  5. Step 5: Solve for x
    x = 89,754,300,677.38/317,815.28
  6. Step 6: Final answer
    x = 282,410.28

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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.