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Finding the Fourth Proportional to 378,457.40, 567,589.32 and 112,155.74

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Solution

The fourth proportional to 378,457.40, 567,589.32 and 112,155.74 is: 168,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,457.40 : 567,589.32 = 112,155.74 : x
  2. Step 2: Convert to fraction form
    378,457.40/567,589.32 = 112,155.74/x
  3. Step 3: Cross multiply
    378,457.40x = 567,589.32 × 112,155.74
  4. Step 4: Simplify right side
    378,457.40x = 63,658,400,200.70
  5. Step 5: Solve for x
    x = 63,658,400,200.70/378,457.40
  6. Step 6: Final answer
    x = 168,204.93

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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.