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Finding the Fourth Proportional to 382,502.56, 527,873.04 and 212,740

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Solution

The fourth proportional to 382,502.56, 527,873.04 and 212,740 is: 293,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,502.56 : 527,873.04 = 212,740 : x
  2. Step 2: Convert to fraction form
    382,502.56/527,873.04 = 212,740/x
  3. Step 3: Cross multiply
    382,502.56x = 527,873.04 × 212,740
  4. Step 4: Simplify right side
    382,502.56x = 112,299,710,529.60
  5. Step 5: Solve for x
    x = 112,299,710,529.60/382,502.56
  6. Step 6: Final answer
    x = 293,592.05

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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.