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Finding the Fourth Proportional to 463,532.74, 695,610.76 and 164,012.16

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Solution

The fourth proportional to 463,532.74, 695,610.76 and 164,012.16 is: 246,128.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,532.74 : 695,610.76 = 164,012.16 : x
  2. Step 2: Convert to fraction form
    463,532.74/695,610.76 = 164,012.16/x
  3. Step 3: Cross multiply
    463,532.74x = 695,610.76 × 164,012.16
  4. Step 4: Simplify right side
    463,532.74x = 114,088,623,266.84
  5. Step 5: Solve for x
    x = 114,088,623,266.84/463,532.74
  6. Step 6: Final answer
    x = 246,128.51

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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.