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Finding the Fourth Proportional to 314,339.22, 433,797.59 and 193,550.20

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Solution

The fourth proportional to 314,339.22, 433,797.59 and 193,550.20 is: 267,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,339.22 : 433,797.59 = 193,550.20 : x
  2. Step 2: Convert to fraction form
    314,339.22/433,797.59 = 193,550.20/x
  3. Step 3: Cross multiply
    314,339.22x = 433,797.59 × 193,550.20
  4. Step 4: Simplify right side
    314,339.22x = 83,961,609,703.40
  5. Step 5: Solve for x
    x = 83,961,609,703.40/314,339.22
  6. Step 6: Final answer
    x = 267,105.10

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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.