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Finding the Fourth Proportional to 514,513.95, 771,471.72 and 194,690.51

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Solution

The fourth proportional to 514,513.95, 771,471.72 and 194,690.51 is: 291,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,513.95 : 771,471.72 = 194,690.51 : x
  2. Step 2: Convert to fraction form
    514,513.95/771,471.72 = 194,690.51/x
  3. Step 3: Cross multiply
    514,513.95x = 771,471.72 × 194,690.51
  4. Step 4: Simplify right side
    514,513.95x = 150,198,221,653.04
  5. Step 5: Solve for x
    x = 150,198,221,653.04/514,513.95
  6. Step 6: Final answer
    x = 291,922.55

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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.