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Finding the Fourth Proportional to 559,652.16, 772,297.44 and 304,997.84

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Solution

The fourth proportional to 559,652.16, 772,297.44 and 304,997.84 is: 420,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,652.16 : 772,297.44 = 304,997.84 : x
  2. Step 2: Convert to fraction form
    559,652.16/772,297.44 = 304,997.84/x
  3. Step 3: Cross multiply
    559,652.16x = 772,297.44 × 304,997.84
  4. Step 4: Simplify right side
    559,652.16x = 235,549,051,037.53
  5. Step 5: Solve for x
    x = 235,549,051,037.53/559,652.16
  6. Step 6: Final answer
    x = 420,884.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.