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Finding the Fourth Proportional to 405,414.96, 559,153.08 and 378,252.24

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Solution

The fourth proportional to 405,414.96, 559,153.08 and 378,252.24 is: 521,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,414.96 : 559,153.08 = 378,252.24 : x
  2. Step 2: Convert to fraction form
    405,414.96/559,153.08 = 378,252.24/x
  3. Step 3: Cross multiply
    405,414.96x = 559,153.08 × 378,252.24
  4. Step 4: Simplify right side
    405,414.96x = 211,500,905,012.90
  5. Step 5: Solve for x
    x = 211,500,905,012.90/405,414.96
  6. Step 6: Final answer
    x = 521,689.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.