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Finding the Fourth Proportional to 370,000.10, 510,600.14 and 200,234.23

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Solution

The fourth proportional to 370,000.10, 510,600.14 and 200,234.23 is: 276,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,000.10 : 510,600.14 = 200,234.23 : x
  2. Step 2: Convert to fraction form
    370,000.10/510,600.14 = 200,234.23/x
  3. Step 3: Cross multiply
    370,000.10x = 510,600.14 × 200,234.23
  4. Step 4: Simplify right side
    370,000.10x = 102,239,625,870.79
  5. Step 5: Solve for x
    x = 102,239,625,870.79/370,000.10
  6. Step 6: Final answer
    x = 276,323.24

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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.