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Finding the Fourth Proportional to 614,954.96, 848,639.16 and 343,015.88

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Solution

The fourth proportional to 614,954.96, 848,639.16 and 343,015.88 is: 473,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,954.96 : 848,639.16 = 343,015.88 : x
  2. Step 2: Convert to fraction form
    614,954.96/848,639.16 = 343,015.88/x
  3. Step 3: Cross multiply
    614,954.96x = 848,639.16 × 343,015.88
  4. Step 4: Simplify right side
    614,954.96x = 291,096,708,269.86
  5. Step 5: Solve for x
    x = 291,096,708,269.86/614,954.96
  6. Step 6: Final answer
    x = 473,362.65

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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.