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Finding the Fourth Proportional to 312,465.47, 431,202.69 and 169,225.67

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Solution

The fourth proportional to 312,465.47, 431,202.69 and 169,225.67 is: 233,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,465.47 : 431,202.69 = 169,225.67 : x
  2. Step 2: Convert to fraction form
    312,465.47/431,202.69 = 169,225.67/x
  3. Step 3: Cross multiply
    312,465.47x = 431,202.69 × 169,225.67
  4. Step 4: Simplify right side
    312,465.47x = 72,970,565,199.06
  5. Step 5: Solve for x
    x = 72,970,565,199.06/312,465.47
  6. Step 6: Final answer
    x = 233,531.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.