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Finding the Fourth Proportional to 567,530.88, 783,221.60 and 312,881.48

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Solution

The fourth proportional to 567,530.88, 783,221.60 and 312,881.48 is: 431,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,530.88 : 783,221.60 = 312,881.48 : x
  2. Step 2: Convert to fraction form
    567,530.88/783,221.60 = 312,881.48/x
  3. Step 3: Cross multiply
    567,530.88x = 783,221.60 × 312,881.48
  4. Step 4: Simplify right side
    567,530.88x = 245,055,533,375.97
  5. Step 5: Solve for x
    x = 245,055,533,375.97/567,530.88
  6. Step 6: Final answer
    x = 431,792.42

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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.