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Finding the Fourth Proportional to 527,514.90, 727,969.59 and 285,803.61

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Solution

The fourth proportional to 527,514.90, 727,969.59 and 285,803.61 is: 394,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,514.90 : 727,969.59 = 285,803.61 : x
  2. Step 2: Convert to fraction form
    527,514.90/727,969.59 = 285,803.61/x
  3. Step 3: Cross multiply
    527,514.90x = 727,969.59 × 285,803.61
  4. Step 4: Simplify right side
    527,514.90x = 208,056,336,792.22
  5. Step 5: Solve for x
    x = 208,056,336,792.22/527,514.90
  6. Step 6: Final answer
    x = 394,408.46

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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.