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Finding the Fourth Proportional to 463,980.07, 695,773.14 and 164,536.03

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Solution

The fourth proportional to 463,980.07, 695,773.14 and 164,536.03 is: 246,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,980.07 : 695,773.14 = 164,536.03 : x
  2. Step 2: Convert to fraction form
    463,980.07/695,773.14 = 164,536.03/x
  3. Step 3: Cross multiply
    463,980.07x = 695,773.14 × 164,536.03
  4. Step 4: Simplify right side
    463,980.07x = 114,479,750,236.23
  5. Step 5: Solve for x
    x = 114,479,750,236.23/463,980.07
  6. Step 6: Final answer
    x = 246,734.20

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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.