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Finding the Fourth Proportional to 401,406.17, 600,854.46 and 259,061.17

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Solution

The fourth proportional to 401,406.17, 600,854.46 and 259,061.17 is: 387,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,406.17 : 600,854.46 = 259,061.17 : x
  2. Step 2: Convert to fraction form
    401,406.17/600,854.46 = 259,061.17/x
  3. Step 3: Cross multiply
    401,406.17x = 600,854.46 × 259,061.17
  4. Step 4: Simplify right side
    401,406.17x = 155,658,058,060.31
  5. Step 5: Solve for x
    x = 155,658,058,060.31/401,406.17
  6. Step 6: Final answer
    x = 387,781.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.