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Finding the Fourth Proportional to 471,714.64, 706,494.02 and 370,281.80

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Solution

The fourth proportional to 471,714.64, 706,494.02 and 370,281.80 is: 554,576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,714.64 : 706,494.02 = 370,281.80 : x
  2. Step 2: Convert to fraction form
    471,714.64/706,494.02 = 370,281.80/x
  3. Step 3: Cross multiply
    471,714.64x = 706,494.02 × 370,281.80
  4. Step 4: Simplify right side
    471,714.64x = 261,601,877,414.84
  5. Step 5: Solve for x
    x = 261,601,877,414.84/471,714.64
  6. Step 6: Final answer
    x = 554,576.56

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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.