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Finding the Fourth Proportional to 314,352.08, 433,811.40 and 171,116.24

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Solution

The fourth proportional to 314,352.08, 433,811.40 and 171,116.24 is: 236,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,352.08 : 433,811.40 = 171,116.24 : x
  2. Step 2: Convert to fraction form
    314,352.08/433,811.40 = 171,116.24/x
  3. Step 3: Cross multiply
    314,352.08x = 433,811.40 × 171,116.24
  4. Step 4: Simplify right side
    314,352.08x = 74,232,175,637.14
  5. Step 5: Solve for x
    x = 74,232,175,637.14/314,352.08
  6. Step 6: Final answer
    x = 236,143.42

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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.