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Finding the Fourth Proportional to 289,106.97, 433,689.48 and 99,542.25

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Solution

The fourth proportional to 289,106.97, 433,689.48 and 99,542.25 is: 149,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,106.97 : 433,689.48 = 99,542.25 : x
  2. Step 2: Convert to fraction form
    289,106.97/433,689.48 = 99,542.25/x
  3. Step 3: Cross multiply
    289,106.97x = 433,689.48 × 99,542.25
  4. Step 4: Simplify right side
    289,106.97x = 43,170,426,640.53
  5. Step 5: Solve for x
    x = 43,170,426,640.53/289,106.97
  6. Step 6: Final answer
    x = 149,323.37

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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.