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Finding the Fourth Proportional to 464,293.70, 696,637.38 and 253,685.60

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Solution

The fourth proportional to 464,293.70, 696,637.38 and 253,685.60 is: 380,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,293.70 : 696,637.38 = 253,685.60 : x
  2. Step 2: Convert to fraction form
    464,293.70/696,637.38 = 253,685.60/x
  3. Step 3: Cross multiply
    464,293.70x = 696,637.38 × 253,685.60
  4. Step 4: Simplify right side
    464,293.70x = 176,726,871,727.73
  5. Step 5: Solve for x
    x = 176,726,871,727.73/464,293.70
  6. Step 6: Final answer
    x = 380,635.95

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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.