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Finding the Fourth Proportional to 461,072.32, 636,297.60 and 259,864

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Solution

The fourth proportional to 461,072.32, 636,297.60 and 259,864 is: 358,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,072.32 : 636,297.60 = 259,864 : x
  2. Step 2: Convert to fraction form
    461,072.32/636,297.60 = 259,864/x
  3. Step 3: Cross multiply
    461,072.32x = 636,297.60 × 259,864
  4. Step 4: Simplify right side
    461,072.32x = 165,350,839,526.40
  5. Step 5: Solve for x
    x = 165,350,839,526.40/461,072.32
  6. Step 6: Final answer
    x = 358,622.35

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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.