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Finding the Fourth Proportional to 533,242.28, 799,864.24 and 213,538.12

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Solution

The fourth proportional to 533,242.28, 799,864.24 and 213,538.12 is: 320,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,242.28 : 799,864.24 = 213,538.12 : x
  2. Step 2: Convert to fraction form
    533,242.28/799,864.24 = 213,538.12/x
  3. Step 3: Cross multiply
    533,242.28x = 799,864.24 × 213,538.12
  4. Step 4: Simplify right side
    533,242.28x = 170,801,506,064.83
  5. Step 5: Solve for x
    x = 170,801,506,064.83/533,242.28
  6. Step 6: Final answer
    x = 320,307.51

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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.