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Finding the Fourth Proportional to 567,658.60, 783,370.50 and 313,004.20

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Solution

The fourth proportional to 567,658.60, 783,370.50 and 313,004.20 is: 431,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,658.60 : 783,370.50 = 313,004.20 : x
  2. Step 2: Convert to fraction form
    567,658.60/783,370.50 = 313,004.20/x
  3. Step 3: Cross multiply
    567,658.60x = 783,370.50 × 313,004.20
  4. Step 4: Simplify right side
    567,658.60x = 245,198,256,656.10
  5. Step 5: Solve for x
    x = 245,198,256,656.10/567,658.60
  6. Step 6: Final answer
    x = 431,946.70

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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.