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Finding the Fourth Proportional to 538,464.78, 807,360.36 and 201,327.78

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Solution

The fourth proportional to 538,464.78, 807,360.36 and 201,327.78 is: 301,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,464.78 : 807,360.36 = 201,327.78 : x
  2. Step 2: Convert to fraction form
    538,464.78/807,360.36 = 201,327.78/x
  3. Step 3: Cross multiply
    538,464.78x = 807,360.36 × 201,327.78
  4. Step 4: Simplify right side
    538,464.78x = 162,544,068,938.80
  5. Step 5: Solve for x
    x = 162,544,068,938.80/538,464.78
  6. Step 6: Final answer
    x = 301,865.74

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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.