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Finding the Fourth Proportional to 604,643.71, 834,414.24 and 332,717.46

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Solution

The fourth proportional to 604,643.71, 834,414.24 and 332,717.46 is: 459,153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,643.71 : 834,414.24 = 332,717.46 : x
  2. Step 2: Convert to fraction form
    604,643.71/834,414.24 = 332,717.46/x
  3. Step 3: Cross multiply
    604,643.71x = 834,414.24 × 332,717.46
  4. Step 4: Simplify right side
    604,643.71x = 277,624,186,520.63
  5. Step 5: Solve for x
    x = 277,624,186,520.63/604,643.71
  6. Step 6: Final answer
    x = 459,153.35

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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.