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Finding the Fourth Proportional to 312,441.48, 468,565.32 and 112,735.92

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Solution

The fourth proportional to 312,441.48, 468,565.32 and 112,735.92 is: 169,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,441.48 : 468,565.32 = 112,735.92 : x
  2. Step 2: Convert to fraction form
    312,441.48/468,565.32 = 112,735.92/x
  3. Step 3: Cross multiply
    312,441.48x = 468,565.32 × 112,735.92
  4. Step 4: Simplify right side
    312,441.48x = 52,824,142,430.29
  5. Step 5: Solve for x
    x = 52,824,142,430.29/312,441.48
  6. Step 6: Final answer
    x = 169,068.92

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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.