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Finding the Fourth Proportional to 299,499.59, 413,307.36 and 163,533.47

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Solution

The fourth proportional to 299,499.59, 413,307.36 and 163,533.47 is: 225,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,499.59 : 413,307.36 = 163,533.47 : x
  2. Step 2: Convert to fraction form
    299,499.59/413,307.36 = 163,533.47/x
  3. Step 3: Cross multiply
    299,499.59x = 413,307.36 × 163,533.47
  4. Step 4: Simplify right side
    299,499.59x = 67,589,584,690.80
  5. Step 5: Solve for x
    x = 67,589,584,690.80/299,499.59
  6. Step 6: Final answer
    x = 225,675.05

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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.