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Finding the Fourth Proportional to 464,003.51, 696,064.13 and 164,425.55

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Solution

The fourth proportional to 464,003.51, 696,064.13 and 164,425.55 is: 246,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,003.51 : 696,064.13 = 164,425.55 : x
  2. Step 2: Convert to fraction form
    464,003.51/696,064.13 = 164,425.55/x
  3. Step 3: Cross multiply
    464,003.51x = 696,064.13 × 164,425.55
  4. Step 4: Simplify right side
    464,003.51x = 114,450,727,410.52
  5. Step 5: Solve for x
    x = 114,450,727,410.52/464,003.51
  6. Step 6: Final answer
    x = 246,659.18

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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.