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Finding the Fourth Proportional to 567,762.66, 783,512.10 and 313,113.96

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Solution

The fourth proportional to 567,762.66, 783,512.10 and 313,113.96 is: 432,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,762.66 : 783,512.10 = 313,113.96 : x
  2. Step 2: Convert to fraction form
    567,762.66/783,512.10 = 313,113.96/x
  3. Step 3: Cross multiply
    567,762.66x = 783,512.10 × 313,113.96
  4. Step 4: Simplify right side
    567,762.66x = 245,328,576,338.92
  5. Step 5: Solve for x
    x = 245,328,576,338.92/567,762.66
  6. Step 6: Final answer
    x = 432,097.06

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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.