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Finding the Fourth Proportional to 378,832.17, 522,800.59 and 215,484.48

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Solution

The fourth proportional to 378,832.17, 522,800.59 and 215,484.48 is: 297,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,832.17 : 522,800.59 = 215,484.48 : x
  2. Step 2: Convert to fraction form
    378,832.17/522,800.59 = 215,484.48/x
  3. Step 3: Cross multiply
    378,832.17x = 522,800.59 × 215,484.48
  4. Step 4: Simplify right side
    378,832.17x = 112,655,411,674.79
  5. Step 5: Solve for x
    x = 112,655,411,674.79/378,832.17
  6. Step 6: Final answer
    x = 297,375.51

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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.