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Finding the Fourth Proportional to 474,180.51, 654,355.84 and 259,315.97

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Solution

The fourth proportional to 474,180.51, 654,355.84 and 259,315.97 is: 357,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,180.51 : 654,355.84 = 259,315.97 : x
  2. Step 2: Convert to fraction form
    474,180.51/654,355.84 = 259,315.97/x
  3. Step 3: Cross multiply
    474,180.51x = 654,355.84 × 259,315.97
  4. Step 4: Simplify right side
    474,180.51x = 169,684,916,670.24
  5. Step 5: Solve for x
    x = 169,684,916,670.24/474,180.51
  6. Step 6: Final answer
    x = 357,848.78

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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.