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Finding the Fourth Proportional to 614,771.29, 848,382.73 and 342,839.49

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Solution

The fourth proportional to 614,771.29, 848,382.73 and 342,839.49 is: 473,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,771.29 : 848,382.73 = 342,839.49 : x
  2. Step 2: Convert to fraction form
    614,771.29/848,382.73 = 342,839.49/x
  3. Step 3: Cross multiply
    614,771.29x = 848,382.73 × 342,839.49
  4. Step 4: Simplify right side
    614,771.29x = 290,859,102,478.01
  5. Step 5: Solve for x
    x = 290,859,102,478.01/614,771.29
  6. Step 6: Final answer
    x = 473,117.58

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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.