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Finding the Fourth Proportional to 524,176.56, 786,189.24 and 239,782.32

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Solution

The fourth proportional to 524,176.56, 786,189.24 and 239,782.32 is: 359,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,176.56 : 786,189.24 = 239,782.32 : x
  2. Step 2: Convert to fraction form
    524,176.56/786,189.24 = 239,782.32/x
  3. Step 3: Cross multiply
    524,176.56x = 786,189.24 × 239,782.32
  4. Step 4: Simplify right side
    524,176.56x = 188,514,279,926.24
  5. Step 5: Solve for x
    x = 188,514,279,926.24/524,176.56
  6. Step 6: Final answer
    x = 359,638.90

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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.