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Finding the Fourth Proportional to 365,655.65, 547,499.33 and 365,655.65

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Solution

The fourth proportional to 365,655.65, 547,499.33 and 365,655.65 is: 547,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,655.65 : 547,499.33 = 365,655.65 : x
  2. Step 2: Convert to fraction form
    365,655.65/547,499.33 = 365,655.65/x
  3. Step 3: Cross multiply
    365,655.65x = 547,499.33 × 365,655.65
  4. Step 4: Simplify right side
    365,655.65x = 200,196,221,557.44
  5. Step 5: Solve for x
    x = 200,196,221,557.44/365,655.65
  6. Step 6: Final answer
    x = 547,499.33

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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.