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Finding the Fourth Proportional to 456,524.01, 684,203.67 and 216,637.47

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Solution

The fourth proportional to 456,524.01, 684,203.67 and 216,637.47 is: 324,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,524.01 : 684,203.67 = 216,637.47 : x
  2. Step 2: Convert to fraction form
    456,524.01/684,203.67 = 216,637.47/x
  3. Step 3: Cross multiply
    456,524.01x = 684,203.67 × 216,637.47
  4. Step 4: Simplify right side
    456,524.01x = 148,224,152,033.52
  5. Step 5: Solve for x
    x = 148,224,152,033.52/456,524.01
  6. Step 6: Final answer
    x = 324,679.86

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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.