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Finding the Fourth Proportional to 460,868.13, 636,000.66 and 256,932

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Solution

The fourth proportional to 460,868.13, 636,000.66 and 256,932 is: 354,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,868.13 : 636,000.66 = 256,932 : x
  2. Step 2: Convert to fraction form
    460,868.13/636,000.66 = 256,932/x
  3. Step 3: Cross multiply
    460,868.13x = 636,000.66 × 256,932
  4. Step 4: Simplify right side
    460,868.13x = 163,408,921,575.12
  5. Step 5: Solve for x
    x = 163,408,921,575.12/460,868.13
  6. Step 6: Final answer
    x = 354,567.63

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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.