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Finding the Fourth Proportional to 471,840.80, 706,033.20 and 347,424.80

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Solution

The fourth proportional to 471,840.80, 706,033.20 and 347,424.80 is: 519,864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,840.80 : 706,033.20 = 347,424.80 : x
  2. Step 2: Convert to fraction form
    471,840.80/706,033.20 = 347,424.80/x
  3. Step 3: Cross multiply
    471,840.80x = 706,033.20 × 347,424.80
  4. Step 4: Simplify right side
    471,840.80x = 245,293,443,303.36
  5. Step 5: Solve for x
    x = 245,293,443,303.36/471,840.80
  6. Step 6: Final answer
    x = 519,864.84

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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.