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Finding the Fourth Proportional to 499,024.80, 748,537.20 and 414,879.98

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Solution

The fourth proportional to 499,024.80, 748,537.20 and 414,879.98 is: 622,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,024.80 : 748,537.20 = 414,879.98 : x
  2. Step 2: Convert to fraction form
    499,024.80/748,537.20 = 414,879.98/x
  3. Step 3: Cross multiply
    499,024.80x = 748,537.20 × 414,879.98
  4. Step 4: Simplify right side
    499,024.80x = 310,553,094,822.57
  5. Step 5: Solve for x
    x = 310,553,094,822.57/499,024.80
  6. Step 6: Final answer
    x = 622,319.96

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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.