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Finding the Fourth Proportional to 535,781.46, 803,113.26 and 180,673.38

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Solution

The fourth proportional to 535,781.46, 803,113.26 and 180,673.38 is: 270,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,781.46 : 803,113.26 = 180,673.38 : x
  2. Step 2: Convert to fraction form
    535,781.46/803,113.26 = 180,673.38/x
  3. Step 3: Cross multiply
    535,781.46x = 803,113.26 × 180,673.38
  4. Step 4: Simplify right side
    535,781.46x = 145,101,187,207.02
  5. Step 5: Solve for x
    x = 145,101,187,207.02/535,781.46
  6. Step 6: Final answer
    x = 270,821.59

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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.