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Finding the Fourth Proportional to 614,814.96, 848,444.04 and 342,906.96

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Solution

The fourth proportional to 614,814.96, 848,444.04 and 342,906.96 is: 473,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,814.96 : 848,444.04 = 342,906.96 : x
  2. Step 2: Convert to fraction form
    614,814.96/848,444.04 = 342,906.96/x
  3. Step 3: Cross multiply
    614,814.96x = 848,444.04 × 342,906.96
  4. Step 4: Simplify right side
    614,814.96x = 290,937,366,486.52
  5. Step 5: Solve for x
    x = 290,937,366,486.52/614,814.96
  6. Step 6: Final answer
    x = 473,211.27

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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.