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Finding the Fourth Proportional to 466,257.96, 643,434.93 and 262,308.96

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Solution

The fourth proportional to 466,257.96, 643,434.93 and 262,308.96 is: 361,985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,257.96 : 643,434.93 = 262,308.96 : x
  2. Step 2: Convert to fraction form
    466,257.96/643,434.93 = 262,308.96/x
  3. Step 3: Cross multiply
    466,257.96x = 643,434.93 × 262,308.96
  4. Step 4: Simplify right side
    466,257.96x = 168,778,747,315.97
  5. Step 5: Solve for x
    x = 168,778,747,315.97/466,257.96
  6. Step 6: Final answer
    x = 361,985.77

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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.