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Finding the Fourth Proportional to 474,502.43, 654,813.33 and 259,642.51

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Solution

The fourth proportional to 474,502.43, 654,813.33 and 259,642.51 is: 358,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,502.43 : 654,813.33 = 259,642.51 : x
  2. Step 2: Convert to fraction form
    474,502.43/654,813.33 = 259,642.51/x
  3. Step 3: Cross multiply
    474,502.43x = 654,813.33 × 259,642.51
  4. Step 4: Simplify right side
    474,502.43x = 170,017,376,582.66
  5. Step 5: Solve for x
    x = 170,017,376,582.66/474,502.43
  6. Step 6: Final answer
    x = 358,306.65

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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.