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Finding the Fourth Proportional to 267,751.32, 400,993.74 and 232,499.40

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Solution

The fourth proportional to 267,751.32, 400,993.74 and 232,499.40 is: 348,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,751.32 : 400,993.74 = 232,499.40 : x
  2. Step 2: Convert to fraction form
    267,751.32/400,993.74 = 232,499.40/x
  3. Step 3: Cross multiply
    267,751.32x = 400,993.74 × 232,499.40
  4. Step 4: Simplify right side
    267,751.32x = 93,230,803,953.76
  5. Step 5: Solve for x
    x = 93,230,803,953.76/267,751.32
  6. Step 6: Final answer
    x = 348,199.23

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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.