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Finding the Fourth Proportional to 601,323.19, 829,839.41 and 343,195

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Solution

The fourth proportional to 601,323.19, 829,839.41 and 343,195 is: 473,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,323.19 : 829,839.41 = 343,195 : x
  2. Step 2: Convert to fraction form
    601,323.19/829,839.41 = 343,195/x
  3. Step 3: Cross multiply
    601,323.19x = 829,839.41 × 343,195
  4. Step 4: Simplify right side
    601,323.19x = 284,796,736,314.95
  5. Step 5: Solve for x
    x = 284,796,736,314.95/601,323.19
  6. Step 6: Final answer
    x = 473,616.75

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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.