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Finding the Fourth Proportional to 296,616.38, 409,002.62 and 189,015.98

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Solution

The fourth proportional to 296,616.38, 409,002.62 and 189,015.98 is: 260,633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,616.38 : 409,002.62 = 189,015.98 : x
  2. Step 2: Convert to fraction form
    296,616.38/409,002.62 = 189,015.98/x
  3. Step 3: Cross multiply
    296,616.38x = 409,002.62 × 189,015.98
  4. Step 4: Simplify right side
    296,616.38x = 77,308,031,041.87
  5. Step 5: Solve for x
    x = 77,308,031,041.87/296,616.38
  6. Step 6: Final answer
    x = 260,633.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.