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Finding the Fourth Proportional to 310,878.56, 466,201.20 and 100,460

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Solution

The fourth proportional to 310,878.56, 466,201.20 and 100,460 is: 150,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,878.56 : 466,201.20 = 100,460 : x
  2. Step 2: Convert to fraction form
    310,878.56/466,201.20 = 100,460/x
  3. Step 3: Cross multiply
    310,878.56x = 466,201.20 × 100,460
  4. Step 4: Simplify right side
    310,878.56x = 46,834,572,552
  5. Step 5: Solve for x
    x = 46,834,572,552/310,878.56
  6. Step 6: Final answer
    x = 150,652.31

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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.