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Finding the Fourth Proportional to 349,423.88, 523,761.93 and 180,774.32

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Solution

The fourth proportional to 349,423.88, 523,761.93 and 180,774.32 is: 270,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,423.88 : 523,761.93 = 180,774.32 : x
  2. Step 2: Convert to fraction form
    349,423.88/523,761.93 = 180,774.32/x
  3. Step 3: Cross multiply
    349,423.88x = 523,761.93 × 180,774.32
  4. Step 4: Simplify right side
    349,423.88x = 94,682,704,118.83
  5. Step 5: Solve for x
    x = 94,682,704,118.83/349,423.88
  6. Step 6: Final answer
    x = 270,968.04

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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.