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Finding the Fourth Proportional to 425,823.20, 638,443.20 and 201,291.20

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Solution

The fourth proportional to 425,823.20, 638,443.20 and 201,291.20 is: 301,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,823.20 : 638,443.20 = 201,291.20 : x
  2. Step 2: Convert to fraction form
    425,823.20/638,443.20 = 201,291.20/x
  3. Step 3: Cross multiply
    425,823.20x = 638,443.20 × 201,291.20
  4. Step 4: Simplify right side
    425,823.20x = 128,512,997,859.84
  5. Step 5: Solve for x
    x = 128,512,997,859.84/425,823.20
  6. Step 6: Final answer
    x = 301,798.96

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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.