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Finding the Fourth Proportional to 474,497.06, 654,805.92 and 259,637.12

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Solution

The fourth proportional to 474,497.06, 654,805.92 and 259,637.12 is: 358,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,497.06 : 654,805.92 = 259,637.12 : x
  2. Step 2: Convert to fraction form
    474,497.06/654,805.92 = 259,637.12/x
  3. Step 3: Cross multiply
    474,497.06x = 654,805.92 × 259,637.12
  4. Step 4: Simplify right side
    474,497.06x = 170,011,925,224.52
  5. Step 5: Solve for x
    x = 170,011,925,224.52/474,497.06
  6. Step 6: Final answer
    x = 358,299.21

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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.