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Finding the Fourth Proportional to 411,159.20, 616,738.80 and 395,412.80

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Solution

The fourth proportional to 411,159.20, 616,738.80 and 395,412.80 is: 593,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,159.20 : 616,738.80 = 395,412.80 : x
  2. Step 2: Convert to fraction form
    411,159.20/616,738.80 = 395,412.80/x
  3. Step 3: Cross multiply
    411,159.20x = 616,738.80 × 395,412.80
  4. Step 4: Simplify right side
    411,159.20x = 243,866,415,776.64
  5. Step 5: Solve for x
    x = 243,866,415,776.64/411,159.20
  6. Step 6: Final answer
    x = 593,119.20

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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.