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Finding the Fourth Proportional to 601,323.06, 829,839.20 and 343,194.85

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Solution

The fourth proportional to 601,323.06, 829,839.20 and 343,194.85 is: 473,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,323.06 : 829,839.20 = 343,194.85 : x
  2. Step 2: Convert to fraction form
    601,323.06/829,839.20 = 343,194.85/x
  3. Step 3: Cross multiply
    601,323.06x = 829,839.20 × 343,194.85
  4. Step 4: Simplify right side
    601,323.06x = 284,796,539,768.12
  5. Step 5: Solve for x
    x = 284,796,539,768.12/601,323.06
  6. Step 6: Final answer
    x = 473,616.53

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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.