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Finding the Fourth Proportional to 427,624.30, 590,081.46 and 255,508

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Solution

The fourth proportional to 427,624.30, 590,081.46 and 255,508 is: 352,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,624.30 : 590,081.46 = 255,508 : x
  2. Step 2: Convert to fraction form
    427,624.30/590,081.46 = 255,508/x
  3. Step 3: Cross multiply
    427,624.30x = 590,081.46 × 255,508
  4. Step 4: Simplify right side
    427,624.30x = 150,770,533,681.68
  5. Step 5: Solve for x
    x = 150,770,533,681.68/427,624.30
  6. Step 6: Final answer
    x = 352,577.10

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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.