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Finding the Fourth Proportional to 397,705.77, 596,559.88 and 98,186.39

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Solution

The fourth proportional to 397,705.77, 596,559.88 and 98,186.39 is: 147,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,705.77 : 596,559.88 = 98,186.39 : x
  2. Step 2: Convert to fraction form
    397,705.77/596,559.88 = 98,186.39/x
  3. Step 3: Cross multiply
    397,705.77x = 596,559.88 × 98,186.39
  4. Step 4: Simplify right side
    397,705.77x = 58,574,060,413.07
  5. Step 5: Solve for x
    x = 58,574,060,413.07/397,705.77
  6. Step 6: Final answer
    x = 147,279.89

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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.