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Finding the Fourth Proportional to 434,379.70, 599,444.17 and 264,613.82

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Solution

The fourth proportional to 434,379.70, 599,444.17 and 264,613.82 is: 365,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,379.70 : 599,444.17 = 264,613.82 : x
  2. Step 2: Convert to fraction form
    434,379.70/599,444.17 = 264,613.82/x
  3. Step 3: Cross multiply
    434,379.70x = 599,444.17 × 264,613.82
  4. Step 4: Simplify right side
    434,379.70x = 158,621,211,700.43
  5. Step 5: Solve for x
    x = 158,621,211,700.43/434,379.70
  6. Step 6: Final answer
    x = 365,167.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.