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Finding the Fourth Proportional to 348,867, 523,305.36 and 99,549

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Solution

The fourth proportional to 348,867, 523,305.36 and 99,549 is: 149,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,867 : 523,305.36 = 99,549 : x
  2. Step 2: Convert to fraction form
    348,867/523,305.36 = 99,549/x
  3. Step 3: Cross multiply
    348,867x = 523,305.36 × 99,549
  4. Step 4: Simplify right side
    348,867x = 52,094,525,282.64
  5. Step 5: Solve for x
    x = 52,094,525,282.64/348,867
  6. Step 6: Final answer
    x = 149,324.89

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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.