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Finding the Fourth Proportional to 552,248.96, 827,290.84 and 286,184

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Solution

The fourth proportional to 552,248.96, 827,290.84 and 286,184 is: 428,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,248.96 : 827,290.84 = 286,184 : x
  2. Step 2: Convert to fraction form
    552,248.96/827,290.84 = 286,184/x
  3. Step 3: Cross multiply
    552,248.96x = 827,290.84 × 286,184
  4. Step 4: Simplify right side
    552,248.96x = 236,757,401,754.56
  5. Step 5: Solve for x
    x = 236,757,401,754.56/552,248.96
  6. Step 6: Final answer
    x = 428,714.98

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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.