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Finding the Fourth Proportional to 421,081.96, 581,094.64 and 230,095.37

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Solution

The fourth proportional to 421,081.96, 581,094.64 and 230,095.37 is: 317,532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,081.96 : 581,094.64 = 230,095.37 : x
  2. Step 2: Convert to fraction form
    421,081.96/581,094.64 = 230,095.37/x
  3. Step 3: Cross multiply
    421,081.96x = 581,094.64 × 230,095.37
  4. Step 4: Simplify right side
    421,081.96x = 133,707,186,195.82
  5. Step 5: Solve for x
    x = 133,707,186,195.82/421,081.96
  6. Step 6: Final answer
    x = 317,532.45

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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.