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Finding the Fourth Proportional to 364,686.84, 503,057.52 and 219,391.74

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Solution

The fourth proportional to 364,686.84, 503,057.52 and 219,391.74 is: 302,634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,686.84 : 503,057.52 = 219,391.74 : x
  2. Step 2: Convert to fraction form
    364,686.84/503,057.52 = 219,391.74/x
  3. Step 3: Cross multiply
    364,686.84x = 503,057.52 × 219,391.74
  4. Step 4: Simplify right side
    364,686.84x = 110,366,664,632.89
  5. Step 5: Solve for x
    x = 110,366,664,632.89/364,686.84
  6. Step 6: Final answer
    x = 302,634.08

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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.