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Finding the Fourth Proportional to 527,585.88, 728,067.30 and 285,875

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Solution

The fourth proportional to 527,585.88, 728,067.30 and 285,875 is: 394,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,585.88 : 728,067.30 = 285,875 : x
  2. Step 2: Convert to fraction form
    527,585.88/728,067.30 = 285,875/x
  3. Step 3: Cross multiply
    527,585.88x = 728,067.30 × 285,875
  4. Step 4: Simplify right side
    527,585.88x = 208,136,239,387.50
  5. Step 5: Solve for x
    x = 208,136,239,387.50/527,585.88
  6. Step 6: Final answer
    x = 394,506.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.