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Finding the Fourth Proportional to 590,234.82, 885,360.12 and 185,413.83

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Solution

The fourth proportional to 590,234.82, 885,360.12 and 185,413.83 is: 278,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,234.82 : 885,360.12 = 185,413.83 : x
  2. Step 2: Convert to fraction form
    590,234.82/885,360.12 = 185,413.83/x
  3. Step 3: Cross multiply
    590,234.82x = 885,360.12 × 185,413.83
  4. Step 4: Simplify right side
    590,234.82x = 164,158,010,778.46
  5. Step 5: Solve for x
    x = 164,158,010,778.46/590,234.82
  6. Step 6: Final answer
    x = 278,123.22

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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.