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Finding the Fourth Proportional to 314,803.44, 434,416.08 and 171,560.48

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Solution

The fourth proportional to 314,803.44, 434,416.08 and 171,560.48 is: 236,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,803.44 : 434,416.08 = 171,560.48 : x
  2. Step 2: Convert to fraction form
    314,803.44/434,416.08 = 171,560.48/x
  3. Step 3: Cross multiply
    314,803.44x = 434,416.08 × 171,560.48
  4. Step 4: Simplify right side
    314,803.44x = 74,528,631,204.52
  5. Step 5: Solve for x
    x = 74,528,631,204.52/314,803.44
  6. Step 6: Final answer
    x = 236,746.56

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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.