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Finding the Fourth Proportional to 567,942.92, 783,725.70 and 313,293.80

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Solution

The fourth proportional to 567,942.92, 783,725.70 and 313,293.80 is: 432,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,942.92 : 783,725.70 = 313,293.80 : x
  2. Step 2: Convert to fraction form
    567,942.92/783,725.70 = 313,293.80/x
  3. Step 3: Cross multiply
    567,942.92x = 783,725.70 × 313,293.80
  4. Step 4: Simplify right side
    567,942.92x = 245,536,402,710.66
  5. Step 5: Solve for x
    x = 245,536,402,710.66/567,942.92
  6. Step 6: Final answer
    x = 432,325.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.