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Finding the Fourth Proportional to 315,834.24, 435,838.32 and 172,599.12

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Solution

The fourth proportional to 315,834.24, 435,838.32 and 172,599.12 is: 238,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,834.24 : 435,838.32 = 172,599.12 : x
  2. Step 2: Convert to fraction form
    315,834.24/435,838.32 = 172,599.12/x
  3. Step 3: Cross multiply
    315,834.24x = 435,838.32 × 172,599.12
  4. Step 4: Simplify right side
    315,834.24x = 75,225,310,494.28
  5. Step 5: Solve for x
    x = 75,225,310,494.28/315,834.24
  6. Step 6: Final answer
    x = 238,179.72

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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.