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Finding the Fourth Proportional to 268,473.32, 370,462.50 and 214,738.76

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Solution

The fourth proportional to 268,473.32, 370,462.50 and 214,738.76 is: 296,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,473.32 : 370,462.50 = 214,738.76 : x
  2. Step 2: Convert to fraction form
    268,473.32/370,462.50 = 214,738.76/x
  3. Step 3: Cross multiply
    268,473.32x = 370,462.50 × 214,738.76
  4. Step 4: Simplify right side
    268,473.32x = 79,552,657,876.50
  5. Step 5: Solve for x
    x = 79,552,657,876.50/268,473.32
  6. Step 6: Final answer
    x = 296,314.95

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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.