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Finding the Fourth Proportional to 464,002.51, 696,062.63 and 164,424.55

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Solution

The fourth proportional to 464,002.51, 696,062.63 and 164,424.55 is: 246,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,002.51 : 696,062.63 = 164,424.55 : x
  2. Step 2: Convert to fraction form
    464,002.51/696,062.63 = 164,424.55/x
  3. Step 3: Cross multiply
    464,002.51x = 696,062.63 × 164,424.55
  4. Step 4: Simplify right side
    464,002.51x = 114,449,784,709.57
  5. Step 5: Solve for x
    x = 114,449,784,709.57/464,002.51
  6. Step 6: Final answer
    x = 246,657.68

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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.