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Finding the Fourth Proportional to 535,806.24, 803,148.12 and 180,697.92

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Solution

The fourth proportional to 535,806.24, 803,148.12 and 180,697.92 is: 270,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,806.24 : 803,148.12 = 180,697.92 : x
  2. Step 2: Convert to fraction form
    535,806.24/803,148.12 = 180,697.92/x
  3. Step 3: Cross multiply
    535,806.24x = 803,148.12 × 180,697.92
  4. Step 4: Simplify right side
    535,806.24x = 145,127,194,735.91
  5. Step 5: Solve for x
    x = 145,127,194,735.91/535,806.24
  6. Step 6: Final answer
    x = 270,857.60

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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.