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Finding the Fourth Proportional to 419,001.84, 578,221.47 and 228,015.18

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Solution

The fourth proportional to 419,001.84, 578,221.47 and 228,015.18 is: 314,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,001.84 : 578,221.47 = 228,015.18 : x
  2. Step 2: Convert to fraction form
    419,001.84/578,221.47 = 228,015.18/x
  3. Step 3: Cross multiply
    419,001.84x = 578,221.47 × 228,015.18
  4. Step 4: Simplify right side
    419,001.84x = 131,843,272,561.92
  5. Step 5: Solve for x
    x = 131,843,272,561.92/419,001.84
  6. Step 6: Final answer
    x = 314,660.37

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1.5x scale

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.