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Finding the Fourth Proportional to 312,259.22, 468,335.55 and 112,539.86

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Solution

The fourth proportional to 312,259.22, 468,335.55 and 112,539.86 is: 168,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,259.22 : 468,335.55 = 112,539.86 : x
  2. Step 2: Convert to fraction form
    312,259.22/468,335.55 = 112,539.86/x
  3. Step 3: Cross multiply
    312,259.22x = 468,335.55 × 112,539.86
  4. Step 4: Simplify right side
    312,259.22x = 52,706,417,230.02
  5. Step 5: Solve for x
    x = 52,706,417,230.02/312,259.22
  6. Step 6: Final answer
    x = 168,790.59

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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.