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Finding the Fourth Proportional to 314,795.53, 434,405.16 and 171,552.50

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Solution

The fourth proportional to 314,795.53, 434,405.16 and 171,552.50 is: 236,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,795.53 : 434,405.16 = 171,552.50 : x
  2. Step 2: Convert to fraction form
    314,795.53/434,405.16 = 171,552.50/x
  3. Step 3: Cross multiply
    314,795.53x = 434,405.16 × 171,552.50
  4. Step 4: Simplify right side
    314,795.53x = 74,523,289,210.06
  5. Step 5: Solve for x
    x = 74,523,289,210.06/314,795.53
  6. Step 6: Final answer
    x = 236,735.54

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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.