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Finding the Fourth Proportional to 640,141.84, 883,385.43 and 349,747.17

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Solution

The fourth proportional to 640,141.84, 883,385.43 and 349,747.17 is: 482,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,141.84 : 883,385.43 = 349,747.17 : x
  2. Step 2: Convert to fraction form
    640,141.84/883,385.43 = 349,747.17/x
  3. Step 3: Cross multiply
    640,141.84x = 883,385.43 × 349,747.17
  4. Step 4: Simplify right side
    640,141.84x = 308,961,554,739.76
  5. Step 5: Solve for x
    x = 308,961,554,739.76/640,141.84
  6. Step 6: Final answer
    x = 482,645.46

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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.