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Finding the Fourth Proportional to 587,249.94, 880,880.10 and 232,264

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Solution

The fourth proportional to 587,249.94, 880,880.10 and 232,264 is: 348,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,249.94 : 880,880.10 = 232,264 : x
  2. Step 2: Convert to fraction form
    587,249.94/880,880.10 = 232,264/x
  3. Step 3: Cross multiply
    587,249.94x = 880,880.10 × 232,264
  4. Step 4: Simplify right side
    587,249.94x = 204,596,735,546.40
  5. Step 5: Solve for x
    x = 204,596,735,546.40/587,249.94
  6. Step 6: Final answer
    x = 348,398.05

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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.