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Finding the Fourth Proportional to 510,134.22, 703,991.10 and 292,338.58

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Solution

The fourth proportional to 510,134.22, 703,991.10 and 292,338.58 is: 403,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,134.22 : 703,991.10 = 292,338.58 : x
  2. Step 2: Convert to fraction form
    510,134.22/703,991.10 = 292,338.58/x
  3. Step 3: Cross multiply
    510,134.22x = 703,991.10 × 292,338.58
  4. Step 4: Simplify right side
    510,134.22x = 205,803,758,506.64
  5. Step 5: Solve for x
    x = 205,803,758,506.64/510,134.22
  6. Step 6: Final answer
    x = 403,430.61

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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.