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Finding the Fourth Proportional to 419,043.29, 578,268.65 and 228,052.58

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Solution

The fourth proportional to 419,043.29, 578,268.65 and 228,052.58 is: 314,706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,043.29 : 578,268.65 = 228,052.58 : x
  2. Step 2: Convert to fraction form
    419,043.29/578,268.65 = 228,052.58/x
  3. Step 3: Cross multiply
    419,043.29x = 578,268.65 × 228,052.58
  4. Step 4: Simplify right side
    419,043.29x = 131,875,653,534.01
  5. Step 5: Solve for x
    x = 131,875,653,534.01/419,043.29
  6. Step 6: Final answer
    x = 314,706.52

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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.