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Finding the Fourth Proportional to 614,769.93, 848,387.40 and 342,855.36

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Solution

The fourth proportional to 614,769.93, 848,387.40 and 342,855.36 is: 473,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,769.93 : 848,387.40 = 342,855.36 : x
  2. Step 2: Convert to fraction form
    614,769.93/848,387.40 = 342,855.36/x
  3. Step 3: Cross multiply
    614,769.93x = 848,387.40 × 342,855.36
  4. Step 4: Simplify right side
    614,769.93x = 290,874,167,446.46
  5. Step 5: Solve for x
    x = 290,874,167,446.46/614,769.93
  6. Step 6: Final answer
    x = 473,143.13

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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.