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Finding the Fourth Proportional to 314,597.52, 434,154.60 and 171,362.16

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Solution

The fourth proportional to 314,597.52, 434,154.60 and 171,362.16 is: 236,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,597.52 : 434,154.60 = 171,362.16 : x
  2. Step 2: Convert to fraction form
    314,597.52/434,154.60 = 171,362.16/x
  3. Step 3: Cross multiply
    314,597.52x = 434,154.60 × 171,362.16
  4. Step 4: Simplify right side
    314,597.52x = 74,397,670,029.94
  5. Step 5: Solve for x
    x = 74,397,670,029.94/314,597.52
  6. Step 6: Final answer
    x = 236,485.24

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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.