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Finding the Fourth Proportional to 640,157.76, 883,027.31 and 410,637.78

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Solution

The fourth proportional to 640,157.76, 883,027.31 and 410,637.78 is: 566,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,157.76 : 883,027.31 = 410,637.78 : x
  2. Step 2: Convert to fraction form
    640,157.76/883,027.31 = 410,637.78/x
  3. Step 3: Cross multiply
    640,157.76x = 883,027.31 × 410,637.78
  4. Step 4: Simplify right side
    640,157.76x = 362,604,372,204.58
  5. Step 5: Solve for x
    x = 362,604,372,204.58/640,157.76
  6. Step 6: Final answer
    x = 566,429.71

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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.