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Finding the Fourth Proportional to 349,155.96, 523,963.61 and 191,495.13

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Solution

The fourth proportional to 349,155.96, 523,963.61 and 191,495.13 is: 287,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,155.96 : 523,963.61 = 191,495.13 : x
  2. Step 2: Convert to fraction form
    349,155.96/523,963.61 = 191,495.13/x
  3. Step 3: Cross multiply
    349,155.96x = 523,963.61 × 191,495.13
  4. Step 4: Simplify right side
    349,155.96x = 100,336,479,612.22
  5. Step 5: Solve for x
    x = 100,336,479,612.22/349,155.96
  6. Step 6: Final answer
    x = 287,368.66

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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.