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Finding the Fourth Proportional to 287,453.54, 431,021.59 and 133,411.59

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Solution

The fourth proportional to 287,453.54, 431,021.59 and 133,411.59 is: 200,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,453.54 : 431,021.59 = 133,411.59 : x
  2. Step 2: Convert to fraction form
    287,453.54/431,021.59 = 133,411.59/x
  3. Step 3: Cross multiply
    287,453.54x = 431,021.59 × 133,411.59
  4. Step 4: Simplify right side
    287,453.54x = 57,503,275,646.23
  5. Step 5: Solve for x
    x = 57,503,275,646.23/287,453.54
  6. Step 6: Final answer
    x = 200,043.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.