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Finding the Fourth Proportional to 465,364.28, 697,720.78 and 237,730.38

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Solution

The fourth proportional to 465,364.28, 697,720.78 and 237,730.38 is: 356,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,364.28 : 697,720.78 = 237,730.38 : x
  2. Step 2: Convert to fraction form
    465,364.28/697,720.78 = 237,730.38/x
  3. Step 3: Cross multiply
    465,364.28x = 697,720.78 × 237,730.38
  4. Step 4: Simplify right side
    465,364.28x = 165,869,426,431.45
  5. Step 5: Solve for x
    x = 165,869,426,431.45/465,364.28
  6. Step 6: Final answer
    x = 356,429.22

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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.