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Finding the Fourth Proportional to 533,248.32, 799,873.20 and 213,544.08

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Solution

The fourth proportional to 533,248.32, 799,873.20 and 213,544.08 is: 320,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,248.32 : 799,873.20 = 213,544.08 : x
  2. Step 2: Convert to fraction form
    533,248.32/799,873.20 = 213,544.08/x
  3. Step 3: Cross multiply
    533,248.32x = 799,873.20 × 213,544.08
  4. Step 4: Simplify right side
    533,248.32x = 170,808,186,610.66
  5. Step 5: Solve for x
    x = 170,808,186,610.66/533,248.32
  6. Step 6: Final answer
    x = 320,316.41

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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.