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Finding the Fourth Proportional to 282,630.16, 423,022.20 and 207,730.48

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Solution

The fourth proportional to 282,630.16, 423,022.20 and 207,730.48 is: 310,917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,630.16 : 423,022.20 = 207,730.48 : x
  2. Step 2: Convert to fraction form
    282,630.16/423,022.20 = 207,730.48/x
  3. Step 3: Cross multiply
    282,630.16x = 423,022.20 × 207,730.48
  4. Step 4: Simplify right side
    282,630.16x = 87,874,604,656.66
  5. Step 5: Solve for x
    x = 87,874,604,656.66/282,630.16
  6. Step 6: Final answer
    x = 310,917.29

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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.