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Finding the Fourth Proportional to 432,287.86, 596,544.84 and 241,297.14

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Solution

The fourth proportional to 432,287.86, 596,544.84 and 241,297.14 is: 332,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,287.86 : 596,544.84 = 241,297.14 : x
  2. Step 2: Convert to fraction form
    432,287.86/596,544.84 = 241,297.14/x
  3. Step 3: Cross multiply
    432,287.86x = 596,544.84 × 241,297.14
  4. Step 4: Simplify right side
    432,287.86x = 143,944,563,773.76
  5. Step 5: Solve for x
    x = 143,944,563,773.76/432,287.86
  6. Step 6: Final answer
    x = 332,983.13

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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.