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Finding the Fourth Proportional to 614,755.47, 848,366.19 and 342,840.54

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Solution

The fourth proportional to 614,755.47, 848,366.19 and 342,840.54 is: 473,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,755.47 : 848,366.19 = 342,840.54 : x
  2. Step 2: Convert to fraction form
    614,755.47/848,366.19 = 342,840.54/x
  3. Step 3: Cross multiply
    614,755.47x = 848,366.19 × 342,840.54
  4. Step 4: Simplify right side
    614,755.47x = 290,854,322,697.34
  5. Step 5: Solve for x
    x = 290,854,322,697.34/614,755.47
  6. Step 6: Final answer
    x = 473,121.98

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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.