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Finding the Fourth Proportional to 310,904.10, 466,356.15 and 100,563.30

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Solution

The fourth proportional to 310,904.10, 466,356.15 and 100,563.30 is: 150,844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,904.10 : 466,356.15 = 100,563.30 : x
  2. Step 2: Convert to fraction form
    310,904.10/466,356.15 = 100,563.30/x
  3. Step 3: Cross multiply
    310,904.10x = 466,356.15 × 100,563.30
  4. Step 4: Simplify right side
    310,904.10x = 46,898,313,419.30
  5. Step 5: Solve for x
    x = 46,898,313,419.30/310,904.10
  6. Step 6: Final answer
    x = 150,844.95

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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.