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Finding the Fourth Proportional to 473,099.72, 709,659.64 and 169,513.65

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Solution

The fourth proportional to 473,099.72, 709,659.64 and 169,513.65 is: 254,274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,099.72 : 709,659.64 = 169,513.65 : x
  2. Step 2: Convert to fraction form
    473,099.72/709,659.64 = 169,513.65/x
  3. Step 3: Cross multiply
    473,099.72x = 709,659.64 × 169,513.65
  4. Step 4: Simplify right side
    473,099.72x = 120,296,995,410.30
  5. Step 5: Solve for x
    x = 120,296,995,410.30/473,099.72
  6. Step 6: Final answer
    x = 254,274.08

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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.