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Finding the Fourth Proportional to 393,956.88, 590,848.92 and 113,413.20

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Solution

The fourth proportional to 393,956.88, 590,848.92 and 113,413.20 is: 170,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,956.88 : 590,848.92 = 113,413.20 : x
  2. Step 2: Convert to fraction form
    393,956.88/590,848.92 = 113,413.20/x
  3. Step 3: Cross multiply
    393,956.88x = 590,848.92 × 113,413.20
  4. Step 4: Simplify right side
    393,956.88x = 67,010,066,733.74
  5. Step 5: Solve for x
    x = 67,010,066,733.74/393,956.88
  6. Step 6: Final answer
    x = 170,094.93

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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.