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Finding the Fourth Proportional to 369,811.54, 510,402.52 and 214,738.66

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Solution

The fourth proportional to 369,811.54, 510,402.52 and 214,738.66 is: 296,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,811.54 : 510,402.52 = 214,738.66 : x
  2. Step 2: Convert to fraction form
    369,811.54/510,402.52 = 214,738.66/x
  3. Step 3: Cross multiply
    369,811.54x = 510,402.52 × 214,738.66
  4. Step 4: Simplify right side
    369,811.54x = 109,603,153,205.42
  5. Step 5: Solve for x
    x = 109,603,153,205.42/369,811.54
  6. Step 6: Final answer
    x = 296,375.70

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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.