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Finding the Fourth Proportional to 463,162.64, 638,961.52 and 272,089.84

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Solution

The fourth proportional to 463,162.64, 638,961.52 and 272,089.84 is: 375,364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,162.64 : 638,961.52 = 272,089.84 : x
  2. Step 2: Convert to fraction form
    463,162.64/638,961.52 = 272,089.84/x
  3. Step 3: Cross multiply
    463,162.64x = 638,961.52 × 272,089.84
  4. Step 4: Simplify right side
    463,162.64x = 173,854,937,742.96
  5. Step 5: Solve for x
    x = 173,854,937,742.96/463,162.64
  6. Step 6: Final answer
    x = 375,364.77

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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.