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Finding the Fourth Proportional to 288,523.15, 432,784.73 and 164,107.15

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Solution

The fourth proportional to 288,523.15, 432,784.73 and 164,107.15 is: 246,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,523.15 : 432,784.73 = 164,107.15 : x
  2. Step 2: Convert to fraction form
    288,523.15/432,784.73 = 164,107.15/x
  3. Step 3: Cross multiply
    288,523.15x = 432,784.73 × 164,107.15
  4. Step 4: Simplify right side
    288,523.15x = 71,023,068,603.82
  5. Step 5: Solve for x
    x = 71,023,068,603.82/288,523.15
  6. Step 6: Final answer
    x = 246,160.73

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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.