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Finding the Fourth Proportional to 535,672.80, 803,509.20 and 219,967.20

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Solution

The fourth proportional to 535,672.80, 803,509.20 and 219,967.20 is: 329,950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,672.80 : 803,509.20 = 219,967.20 : x
  2. Step 2: Convert to fraction form
    535,672.80/803,509.20 = 219,967.20/x
  3. Step 3: Cross multiply
    535,672.80x = 803,509.20 × 219,967.20
  4. Step 4: Simplify right side
    535,672.80x = 176,745,668,898.24
  5. Step 5: Solve for x
    x = 176,745,668,898.24/535,672.80
  6. Step 6: Final answer
    x = 329,950.80

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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.