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Finding the Fourth Proportional to 433,253.24, 649,603 and 208,165.76

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Solution

The fourth proportional to 433,253.24, 649,603 and 208,165.76 is: 312,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,253.24 : 649,603 = 208,165.76 : x
  2. Step 2: Convert to fraction form
    433,253.24/649,603 = 208,165.76/x
  3. Step 3: Cross multiply
    433,253.24x = 649,603 × 208,165.76
  4. Step 4: Simplify right side
    433,253.24x = 135,225,102,193.28
  5. Step 5: Solve for x
    x = 135,225,102,193.28/433,253.24
  6. Step 6: Final answer
    x = 312,115.62

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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.