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Finding the Fourth Proportional to 550,841.52, 826,271.28 and 191,023.68

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Solution

The fourth proportional to 550,841.52, 826,271.28 and 191,023.68 is: 286,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,841.52 : 826,271.28 = 191,023.68 : x
  2. Step 2: Convert to fraction form
    550,841.52/826,271.28 = 191,023.68/x
  3. Step 3: Cross multiply
    550,841.52x = 826,271.28 × 191,023.68
  4. Step 4: Simplify right side
    550,841.52x = 157,837,380,583.91
  5. Step 5: Solve for x
    x = 157,837,380,583.91/550,841.52
  6. Step 6: Final answer
    x = 286,538.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.