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Finding the Fourth Proportional to 508,525.72, 701,719.07 and 301,758.47

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Solution

The fourth proportional to 508,525.72, 701,719.07 and 301,758.47 is: 416,399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,525.72 : 701,719.07 = 301,758.47 : x
  2. Step 2: Convert to fraction form
    508,525.72/701,719.07 = 301,758.47/x
  3. Step 3: Cross multiply
    508,525.72x = 701,719.07 × 301,758.47
  4. Step 4: Simplify right side
    508,525.72x = 211,749,674,310.12
  5. Step 5: Solve for x
    x = 211,749,674,310.12/508,525.72
  6. Step 6: Final answer
    x = 416,399.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.