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Finding the Fourth Proportional to 310,803.60, 466,088.22 and 100,385.04

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Solution

The fourth proportional to 310,803.60, 466,088.22 and 100,385.04 is: 150,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,803.60 : 466,088.22 = 100,385.04 : x
  2. Step 2: Convert to fraction form
    310,803.60/466,088.22 = 100,385.04/x
  3. Step 3: Cross multiply
    310,803.60x = 466,088.22 × 100,385.04
  4. Step 4: Simplify right side
    310,803.60x = 46,788,284,608.23
  5. Step 5: Solve for x
    x = 46,788,284,608.23/310,803.60
  6. Step 6: Final answer
    x = 150,539.71

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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.