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Finding the Fourth Proportional to 306,731.60, 460,097.40 and 156,922.10

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Solution

The fourth proportional to 306,731.60, 460,097.40 and 156,922.10 is: 235,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,731.60 : 460,097.40 = 156,922.10 : x
  2. Step 2: Convert to fraction form
    306,731.60/460,097.40 = 156,922.10/x
  3. Step 3: Cross multiply
    306,731.60x = 460,097.40 × 156,922.10
  4. Step 4: Simplify right side
    306,731.60x = 72,199,450,212.54
  5. Step 5: Solve for x
    x = 72,199,450,212.54/306,731.60
  6. Step 6: Final answer
    x = 235,383.15

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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.