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Finding the Fourth Proportional to 535,620.72, 803,126.61 and 413,998.24

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Solution

The fourth proportional to 535,620.72, 803,126.61 and 413,998.24 is: 620,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,620.72 : 803,126.61 = 413,998.24 : x
  2. Step 2: Convert to fraction form
    535,620.72/803,126.61 = 413,998.24/x
  3. Step 3: Cross multiply
    535,620.72x = 803,126.61 × 413,998.24
  4. Step 4: Simplify right side
    535,620.72x = 332,492,999,021.53
  5. Step 5: Solve for x
    x = 332,492,999,021.53/535,620.72
  6. Step 6: Final answer
    x = 620,762.02

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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.