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Finding the Fourth Proportional to 314,464.58, 433,968.92 and 171,232.47

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Solution

The fourth proportional to 314,464.58, 433,968.92 and 171,232.47 is: 236,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,464.58 : 433,968.92 = 171,232.47 : x
  2. Step 2: Convert to fraction form
    314,464.58/433,968.92 = 171,232.47/x
  3. Step 3: Cross multiply
    314,464.58x = 433,968.92 × 171,232.47
  4. Step 4: Simplify right side
    314,464.58x = 74,309,569,218.67
  5. Step 5: Solve for x
    x = 74,309,569,218.67/314,464.58
  6. Step 6: Final answer
    x = 236,305.06

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1.5x scale

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.