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Finding the Fourth Proportional to 432,393.77, 648,524.12 and 144,210.49

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Solution

The fourth proportional to 432,393.77, 648,524.12 and 144,210.49 is: 216,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,393.77 : 648,524.12 = 144,210.49 : x
  2. Step 2: Convert to fraction form
    432,393.77/648,524.12 = 144,210.49/x
  3. Step 3: Cross multiply
    432,393.77x = 648,524.12 × 144,210.49
  4. Step 4: Simplify right side
    432,393.77x = 93,523,981,122.02
  5. Step 5: Solve for x
    x = 93,523,981,122.02/432,393.77
  6. Step 6: Final answer
    x = 216,293.54

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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.