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Finding the Fourth Proportional to 407,988.11, 562,879.72 and 233,430.82

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Solution

The fourth proportional to 407,988.11, 562,879.72 and 233,430.82 is: 322,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,988.11 : 562,879.72 = 233,430.82 : x
  2. Step 2: Convert to fraction form
    407,988.11/562,879.72 = 233,430.82/x
  3. Step 3: Cross multiply
    407,988.11x = 562,879.72 × 233,430.82
  4. Step 4: Simplify right side
    407,988.11x = 131,393,473,755.61
  5. Step 5: Solve for x
    x = 131,393,473,755.61/407,988.11
  6. Step 6: Final answer
    x = 322,052.22

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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.