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Finding the Fourth Proportional to 314,308.33, 433,775.76 and 193,520.32

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Solution

The fourth proportional to 314,308.33, 433,775.76 and 193,520.32 is: 267,076.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,308.33 : 433,775.76 = 193,520.32 : x
  2. Step 2: Convert to fraction form
    314,308.33/433,775.76 = 193,520.32/x
  3. Step 3: Cross multiply
    314,308.33x = 433,775.76 × 193,520.32
  4. Step 4: Simplify right side
    314,308.33x = 83,944,423,883.44
  5. Step 5: Solve for x
    x = 83,944,423,883.44/314,308.33
  6. Step 6: Final answer
    x = 267,076.68

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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.