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Finding the Fourth Proportional to 614,716, 848,323.08 and 342,781.24

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Solution

The fourth proportional to 614,716, 848,323.08 and 342,781.24 is: 473,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,716 : 848,323.08 = 342,781.24 : x
  2. Step 2: Convert to fraction form
    614,716/848,323.08 = 342,781.24/x
  3. Step 3: Cross multiply
    614,716x = 848,323.08 × 342,781.24
  4. Step 4: Simplify right side
    614,716x = 290,789,237,283.02
  5. Step 5: Solve for x
    x = 290,789,237,283.02/614,716
  6. Step 6: Final answer
    x = 473,046.48

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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.