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Finding the Fourth Proportional to 364,252.88, 502,718.28 and 213,410

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Solution

The fourth proportional to 364,252.88, 502,718.28 and 213,410 is: 294,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,252.88 : 502,718.28 = 213,410 : x
  2. Step 2: Convert to fraction form
    364,252.88/502,718.28 = 213,410/x
  3. Step 3: Cross multiply
    364,252.88x = 502,718.28 × 213,410
  4. Step 4: Simplify right side
    364,252.88x = 107,285,108,134.80
  5. Step 5: Solve for x
    x = 107,285,108,134.80/364,252.88
  6. Step 6: Final answer
    x = 294,534.69

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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.