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Finding the Fourth Proportional to 532,410.64, 734,716.83 and 302,962.84

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Solution

The fourth proportional to 532,410.64, 734,716.83 and 302,962.84 is: 418,083.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,410.64 : 734,716.83 = 302,962.84 : x
  2. Step 2: Convert to fraction form
    532,410.64/734,716.83 = 302,962.84/x
  3. Step 3: Cross multiply
    532,410.64x = 734,716.83 × 302,962.84
  4. Step 4: Simplify right side
    532,410.64x = 222,591,897,412.60
  5. Step 5: Solve for x
    x = 222,591,897,412.60/532,410.64
  6. Step 6: Final answer
    x = 418,083.11

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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.