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Finding the Fourth Proportional to 378,726.64, 522,832.16 and 235,532.82

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Solution

The fourth proportional to 378,726.64, 522,832.16 and 235,532.82 is: 325,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,726.64 : 522,832.16 = 235,532.82 : x
  2. Step 2: Convert to fraction form
    378,726.64/522,832.16 = 235,532.82/x
  3. Step 3: Cross multiply
    378,726.64x = 522,832.16 × 235,532.82
  4. Step 4: Simplify right side
    378,726.64x = 123,144,133,031.49
  5. Step 5: Solve for x
    x = 123,144,133,031.49/378,726.64
  6. Step 6: Final answer
    x = 325,153.08

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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.