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Finding the Fourth Proportional to 462,334.64, 693,305.04 and 181,655

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Solution

The fourth proportional to 462,334.64, 693,305.04 and 181,655 is: 272,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,334.64 : 693,305.04 = 181,655 : x
  2. Step 2: Convert to fraction form
    462,334.64/693,305.04 = 181,655/x
  3. Step 3: Cross multiply
    462,334.64x = 693,305.04 × 181,655
  4. Step 4: Simplify right side
    462,334.64x = 125,942,327,041.20
  5. Step 5: Solve for x
    x = 125,942,327,041.20/462,334.64
  6. Step 6: Final answer
    x = 272,405.13

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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.