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Finding the Fourth Proportional to 496,064.58, 744,080.40 and 215,582.10

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Solution

The fourth proportional to 496,064.58, 744,080.40 and 215,582.10 is: 323,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,064.58 : 744,080.40 = 215,582.10 : x
  2. Step 2: Convert to fraction form
    496,064.58/744,080.40 = 215,582.10/x
  3. Step 3: Cross multiply
    496,064.58x = 744,080.40 × 215,582.10
  4. Step 4: Simplify right side
    496,064.58x = 160,410,415,200.84
  5. Step 5: Solve for x
    x = 160,410,415,200.84/496,064.58
  6. Step 6: Final answer
    x = 323,365.99

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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.