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Finding the Fourth Proportional to 370,234.75, 510,924.32 and 200,468.47

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Solution

The fourth proportional to 370,234.75, 510,924.32 and 200,468.47 is: 276,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,234.75 : 510,924.32 = 200,468.47 : x
  2. Step 2: Convert to fraction form
    370,234.75/510,924.32 = 200,468.47/x
  3. Step 3: Cross multiply
    370,234.75x = 510,924.32 × 200,468.47
  4. Step 4: Simplify right side
    370,234.75x = 102,424,216,716.19
  5. Step 5: Solve for x
    x = 102,424,216,716.19/370,234.75
  6. Step 6: Final answer
    x = 276,646.69

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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.