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Finding the Fourth Proportional to 465,177.71, 642,014.65 and 283,994.66

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Solution

The fourth proportional to 465,177.71, 642,014.65 and 283,994.66 is: 391,955.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,177.71 : 642,014.65 = 283,994.66 : x
  2. Step 2: Convert to fraction form
    465,177.71/642,014.65 = 283,994.66/x
  3. Step 3: Cross multiply
    465,177.71x = 642,014.65 × 283,994.66
  4. Step 4: Simplify right side
    465,177.71x = 182,328,732,241.77
  5. Step 5: Solve for x
    x = 182,328,732,241.77/465,177.71
  6. Step 6: Final answer
    x = 391,955.01

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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.