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Finding the Fourth Proportional to 349,153.46, 523,959.86 and 191,492.63

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Solution

The fourth proportional to 349,153.46, 523,959.86 and 191,492.63 is: 287,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,153.46 : 523,959.86 = 191,492.63 : x
  2. Step 2: Convert to fraction form
    349,153.46/523,959.86 = 191,492.63/x
  3. Step 3: Cross multiply
    349,153.46x = 523,959.86 × 191,492.63
  4. Step 4: Simplify right side
    349,153.46x = 100,334,451,605.83
  5. Step 5: Solve for x
    x = 100,334,451,605.83/349,153.46
  6. Step 6: Final answer
    x = 287,364.91

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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.