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Finding the Fourth Proportional to 416,309.61, 574,521.17 and 255,133.51

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Solution

The fourth proportional to 416,309.61, 574,521.17 and 255,133.51 is: 352,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,309.61 : 574,521.17 = 255,133.51 : x
  2. Step 2: Convert to fraction form
    416,309.61/574,521.17 = 255,133.51/x
  3. Step 3: Cross multiply
    416,309.61x = 574,521.17 × 255,133.51
  4. Step 4: Simplify right side
    416,309.61x = 146,579,603,788.79
  5. Step 5: Solve for x
    x = 146,579,603,788.79/416,309.61
  6. Step 6: Final answer
    x = 352,092.77

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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.