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Finding the Fourth Proportional to 535,672.77, 803,204.45 and 414,050.19

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Solution

The fourth proportional to 535,672.77, 803,204.45 and 414,050.19 is: 620,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,672.77 : 803,204.45 = 414,050.19 : x
  2. Step 2: Convert to fraction form
    535,672.77/803,204.45 = 414,050.19/x
  3. Step 3: Cross multiply
    535,672.77x = 803,204.45 × 414,050.19
  4. Step 4: Simplify right side
    535,672.77x = 332,566,955,131.35
  5. Step 5: Solve for x
    x = 332,566,955,131.35/535,672.77
  6. Step 6: Final answer
    x = 620,839.76

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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.