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Finding the Fourth Proportional to 598,886.24, 826,413.32 and 340,694.48

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Solution

The fourth proportional to 598,886.24, 826,413.32 and 340,694.48 is: 470,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,886.24 : 826,413.32 = 340,694.48 : x
  2. Step 2: Convert to fraction form
    598,886.24/826,413.32 = 340,694.48/x
  3. Step 3: Cross multiply
    598,886.24x = 826,413.32 × 340,694.48
  4. Step 4: Simplify right side
    598,886.24x = 281,554,456,322.47
  5. Step 5: Solve for x
    x = 281,554,456,322.47/598,886.24
  6. Step 6: Final answer
    x = 470,130.11

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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.