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Finding the Fourth Proportional to 313,816.06, 433,051.80 and 177,842.04

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Solution

The fourth proportional to 313,816.06, 433,051.80 and 177,842.04 is: 245,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,816.06 : 433,051.80 = 177,842.04 : x
  2. Step 2: Convert to fraction form
    313,816.06/433,051.80 = 177,842.04/x
  3. Step 3: Cross multiply
    313,816.06x = 433,051.80 × 177,842.04
  4. Step 4: Simplify right side
    313,816.06x = 77,014,815,537.67
  5. Step 5: Solve for x
    x = 77,014,815,537.67/313,816.06
  6. Step 6: Final answer
    x = 245,413.88

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1.5x scale

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.