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Finding the Fourth Proportional to 347,643.20, 521,464.80 and 254,331.20

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Solution

The fourth proportional to 347,643.20, 521,464.80 and 254,331.20 is: 381,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,643.20 : 521,464.80 = 254,331.20 : x
  2. Step 2: Convert to fraction form
    347,643.20/521,464.80 = 254,331.20/x
  3. Step 3: Cross multiply
    347,643.20x = 521,464.80 × 254,331.20
  4. Step 4: Simplify right side
    347,643.20x = 132,624,768,341.76
  5. Step 5: Solve for x
    x = 132,624,768,341.76/347,643.20
  6. Step 6: Final answer
    x = 381,496.80

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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.