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Finding the Fourth Proportional to 614,646.27, 848,168.55 and 342,702.54

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Solution

The fourth proportional to 614,646.27, 848,168.55 and 342,702.54 is: 472,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,646.27 : 848,168.55 = 342,702.54 : x
  2. Step 2: Convert to fraction form
    614,646.27/848,168.55 = 342,702.54/x
  3. Step 3: Cross multiply
    614,646.27x = 848,168.55 × 342,702.54
  4. Step 4: Simplify right side
    614,646.27x = 290,669,516,433.12
  5. Step 5: Solve for x
    x = 290,669,516,433.12/614,646.27
  6. Step 6: Final answer
    x = 472,905.36

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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.