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Finding the Fourth Proportional to 369,803.70, 510,331.14 and 206,467.59

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Solution

The fourth proportional to 369,803.70, 510,331.14 and 206,467.59 is: 284,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,803.70 : 510,331.14 = 206,467.59 : x
  2. Step 2: Convert to fraction form
    369,803.70/510,331.14 = 206,467.59/x
  3. Step 3: Cross multiply
    369,803.70x = 510,331.14 × 206,467.59
  4. Step 4: Simplify right side
    369,803.70x = 105,366,840,577.75
  5. Step 5: Solve for x
    x = 105,366,840,577.75/369,803.70
  6. Step 6: Final answer
    x = 284,926.41

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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.