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Finding the Fourth Proportional to 288,833.51, 433,260.14 and 99,292.25

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Solution

The fourth proportional to 288,833.51, 433,260.14 and 99,292.25 is: 148,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,833.51 : 433,260.14 = 99,292.25 : x
  2. Step 2: Convert to fraction form
    288,833.51/433,260.14 = 99,292.25/x
  3. Step 3: Cross multiply
    288,833.51x = 433,260.14 × 99,292.25
  4. Step 4: Simplify right side
    288,833.51x = 43,019,375,467.30
  5. Step 5: Solve for x
    x = 43,019,375,467.30/288,833.51
  6. Step 6: Final answer
    x = 148,941.78

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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.