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Finding the Fourth Proportional to 310,773.48, 466,162.92 and 100,411.44

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Solution

The fourth proportional to 310,773.48, 466,162.92 and 100,411.44 is: 150,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,773.48 : 466,162.92 = 100,411.44 : x
  2. Step 2: Convert to fraction form
    310,773.48/466,162.92 = 100,411.44/x
  3. Step 3: Cross multiply
    310,773.48x = 466,162.92 × 100,411.44
  4. Step 4: Simplify right side
    310,773.48x = 46,808,090,071.80
  5. Step 5: Solve for x
    x = 46,808,090,071.80/310,773.48
  6. Step 6: Final answer
    x = 150,618.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.