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Finding the Fourth Proportional to 614,757.40, 848,369.69 and 342,842.83

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Solution

The fourth proportional to 614,757.40, 848,369.69 and 342,842.83 is: 473,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,757.40 : 848,369.69 = 342,842.83 : x
  2. Step 2: Convert to fraction form
    614,757.40/848,369.69 = 342,842.83/x
  3. Step 3: Cross multiply
    614,757.40x = 848,369.69 × 342,842.83
  4. Step 4: Simplify right side
    614,757.40x = 290,857,462,021.08
  5. Step 5: Solve for x
    x = 290,857,462,021.08/614,757.40
  6. Step 6: Final answer
    x = 473,125.60

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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.