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Finding the Fourth Proportional to 474,513.72, 654,828.12 and 259,653.72

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Solution

The fourth proportional to 474,513.72, 654,828.12 and 259,653.72 is: 358,321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,513.72 : 654,828.12 = 259,653.72 : x
  2. Step 2: Convert to fraction form
    474,513.72/654,828.12 = 259,653.72/x
  3. Step 3: Cross multiply
    474,513.72x = 654,828.12 × 259,653.72
  4. Step 4: Simplify right side
    474,513.72x = 170,028,557,318.61
  5. Step 5: Solve for x
    x = 170,028,557,318.61/474,513.72
  6. Step 6: Final answer
    x = 358,321.69

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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.