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Finding the Fourth Proportional to 384,607.32, 577,010.75 and 204,544.69

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Solution

The fourth proportional to 384,607.32, 577,010.75 and 204,544.69 is: 306,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,607.32 : 577,010.75 = 204,544.69 : x
  2. Step 2: Convert to fraction form
    384,607.32/577,010.75 = 204,544.69/x
  3. Step 3: Cross multiply
    384,607.32x = 577,010.75 × 204,544.69
  4. Step 4: Simplify right side
    384,607.32x = 118,024,481,669.02
  5. Step 5: Solve for x
    x = 118,024,481,669.02/384,607.32
  6. Step 6: Final answer
    x = 306,870.09

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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.