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Finding the Fourth Proportional to 471,041.82, 650,031.36 and 256,177.26

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Solution

The fourth proportional to 471,041.82, 650,031.36 and 256,177.26 is: 353,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,041.82 : 650,031.36 = 256,177.26 : x
  2. Step 2: Convert to fraction form
    471,041.82/650,031.36 = 256,177.26/x
  3. Step 3: Cross multiply
    471,041.82x = 650,031.36 × 256,177.26
  4. Step 4: Simplify right side
    471,041.82x = 166,523,252,718.87
  5. Step 5: Solve for x
    x = 166,523,252,718.87/471,041.82
  6. Step 6: Final answer
    x = 353,521.16

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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.