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Finding the Fourth Proportional to 315,334.24, 435,162.48 and 172,097.50

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Solution

The fourth proportional to 315,334.24, 435,162.48 and 172,097.50 is: 237,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,334.24 : 435,162.48 = 172,097.50 : x
  2. Step 2: Convert to fraction form
    315,334.24/435,162.48 = 172,097.50/x
  3. Step 3: Cross multiply
    315,334.24x = 435,162.48 × 172,097.50
  4. Step 4: Simplify right side
    315,334.24x = 74,890,374,901.80
  5. Step 5: Solve for x
    x = 74,890,374,901.80/315,334.24
  6. Step 6: Final answer
    x = 237,495.22

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Why These Related Problems?

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