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Finding the Fourth Proportional to 314,452.46, 433,952.18 and 171,220.34

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Solution

The fourth proportional to 314,452.46, 433,952.18 and 171,220.34 is: 236,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,452.46 : 433,952.18 = 171,220.34 : x
  2. Step 2: Convert to fraction form
    314,452.46/433,952.18 = 171,220.34/x
  3. Step 3: Cross multiply
    314,452.46x = 433,952.18 × 171,220.34
  4. Step 4: Simplify right side
    314,452.46x = 74,301,439,803.34
  5. Step 5: Solve for x
    x = 74,301,439,803.34/314,452.46
  6. Step 6: Final answer
    x = 236,288.31

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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.