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Finding the Fourth Proportional to 432,764.64, 597,446.64 and 289,768.32

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Solution

The fourth proportional to 432,764.64, 597,446.64 and 289,768.32 is: 400,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,764.64 : 597,446.64 = 289,768.32 : x
  2. Step 2: Convert to fraction form
    432,764.64/597,446.64 = 289,768.32/x
  3. Step 3: Cross multiply
    432,764.64x = 597,446.64 × 289,768.32
  4. Step 4: Simplify right side
    432,764.64x = 173,121,109,162.45
  5. Step 5: Solve for x
    x = 173,121,109,162.45/432,764.64
  6. Step 6: Final answer
    x = 400,035.25

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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.