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Finding the Fourth Proportional to 435,522.19, 653,374.21 and 219,502.33

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Solution

The fourth proportional to 435,522.19, 653,374.21 and 219,502.33 is: 329,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,522.19 : 653,374.21 = 219,502.33 : x
  2. Step 2: Convert to fraction form
    435,522.19/653,374.21 = 219,502.33/x
  3. Step 3: Cross multiply
    435,522.19x = 653,374.21 × 219,502.33
  4. Step 4: Simplify right side
    435,522.19x = 143,417,161,456.91
  5. Step 5: Solve for x
    x = 143,417,161,456.91/435,522.19
  6. Step 6: Final answer
    x = 329,299.32

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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.