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Finding the Fourth Proportional to 380,287.12, 570,387.48 and 99,826.24

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Solution

The fourth proportional to 380,287.12, 570,387.48 and 99,826.24 is: 149,728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,287.12 : 570,387.48 = 99,826.24 : x
  2. Step 2: Convert to fraction form
    380,287.12/570,387.48 = 99,826.24/x
  3. Step 3: Cross multiply
    380,287.12x = 570,387.48 × 99,826.24
  4. Step 4: Simplify right side
    380,287.12x = 56,939,637,471.48
  5. Step 5: Solve for x
    x = 56,939,637,471.48/380,287.12
  6. Step 6: Final answer
    x = 149,728.02

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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.