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Finding the Fourth Proportional to 514,808.10, 771,422.67 and 233,997.30

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Solution

The fourth proportional to 514,808.10, 771,422.67 and 233,997.30 is: 350,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,808.10 : 771,422.67 = 233,997.30 : x
  2. Step 2: Convert to fraction form
    514,808.10/771,422.67 = 233,997.30/x
  3. Step 3: Cross multiply
    514,808.10x = 771,422.67 × 233,997.30
  4. Step 4: Simplify right side
    514,808.10x = 180,510,821,938.79
  5. Step 5: Solve for x
    x = 180,510,821,938.79/514,808.10
  6. Step 6: Final answer
    x = 350,637.11

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1.5x scale

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.