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Finding the Fourth Proportional to 378,000.84, 521,605.26 and 216,869.16

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Solution

The fourth proportional to 378,000.84, 521,605.26 and 216,869.16 is: 299,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,000.84 : 521,605.26 = 216,869.16 : x
  2. Step 2: Convert to fraction form
    378,000.84/521,605.26 = 216,869.16/x
  3. Step 3: Cross multiply
    378,000.84x = 521,605.26 × 216,869.16
  4. Step 4: Simplify right side
    378,000.84x = 113,120,094,587.78
  5. Step 5: Solve for x
    x = 113,120,094,587.78/378,000.84
  6. Step 6: Final answer
    x = 299,258.84

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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.