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Finding the Fourth Proportional to 614,659, 848,167.14 and 342,701.08

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Solution

The fourth proportional to 614,659, 848,167.14 and 342,701.08 is: 472,892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,659 : 848,167.14 = 342,701.08 : x
  2. Step 2: Convert to fraction form
    614,659/848,167.14 = 342,701.08/x
  3. Step 3: Cross multiply
    614,659x = 848,167.14 × 342,701.08
  4. Step 4: Simplify right side
    614,659x = 290,667,794,898.51
  5. Step 5: Solve for x
    x = 290,667,794,898.51/614,659
  6. Step 6: Final answer
    x = 472,892.77

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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.