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Finding the Fourth Proportional to 614,863.20, 921,857.40 and 235,637.40

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Solution

The fourth proportional to 614,863.20, 921,857.40 and 235,637.40 is: 353,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,863.20 : 921,857.40 = 235,637.40 : x
  2. Step 2: Convert to fraction form
    614,863.20/921,857.40 = 235,637.40/x
  3. Step 3: Cross multiply
    614,863.20x = 921,857.40 × 235,637.40
  4. Step 4: Simplify right side
    614,863.20x = 217,224,080,906.76
  5. Step 5: Solve for x
    x = 217,224,080,906.76/614,863.20
  6. Step 6: Final answer
    x = 353,288.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.