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Finding the Fourth Proportional to 313,884.76, 433,176.78 and 193,032.76

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Solution

The fourth proportional to 313,884.76, 433,176.78 and 193,032.76 is: 266,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,884.76 : 433,176.78 = 193,032.76 : x
  2. Step 2: Convert to fraction form
    313,884.76/433,176.78 = 193,032.76/x
  3. Step 3: Cross multiply
    313,884.76x = 433,176.78 × 193,032.76
  4. Step 4: Simplify right side
    313,884.76x = 83,617,309,411.31
  5. Step 5: Solve for x
    x = 83,617,309,411.31/313,884.76
  6. Step 6: Final answer
    x = 266,394.93

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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.