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Finding the Fourth Proportional to 386,427.60, 579,641.40 and 274,453.20

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Solution

The fourth proportional to 386,427.60, 579,641.40 and 274,453.20 is: 411,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,427.60 : 579,641.40 = 274,453.20 : x
  2. Step 2: Convert to fraction form
    386,427.60/579,641.40 = 274,453.20/x
  3. Step 3: Cross multiply
    386,427.60x = 579,641.40 × 274,453.20
  4. Step 4: Simplify right side
    386,427.60x = 159,084,437,082.48
  5. Step 5: Solve for x
    x = 159,084,437,082.48/386,427.60
  6. Step 6: Final answer
    x = 411,679.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.