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Finding the Fourth Proportional to 313,798.15, 433,054.35 and 177,830.64

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Solution

The fourth proportional to 313,798.15, 433,054.35 and 177,830.64 is: 245,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,798.15 : 433,054.35 = 177,830.64 : x
  2. Step 2: Convert to fraction form
    313,798.15/433,054.35 = 177,830.64/x
  3. Step 3: Cross multiply
    313,798.15x = 433,054.35 × 177,830.64
  4. Step 4: Simplify right side
    313,798.15x = 77,010,332,215.28
  5. Step 5: Solve for x
    x = 77,010,332,215.28/313,798.15
  6. Step 6: Final answer
    x = 245,413.59

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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.