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Finding the Fourth Proportional to 419,002.59, 578,222.51 and 228,015.93

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Solution

The fourth proportional to 419,002.59, 578,222.51 and 228,015.93 is: 314,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,002.59 : 578,222.51 = 228,015.93 : x
  2. Step 2: Convert to fraction form
    419,002.59/578,222.51 = 228,015.93/x
  3. Step 3: Cross multiply
    419,002.59x = 578,222.51 × 228,015.93
  4. Step 4: Simplify right side
    419,002.59x = 131,843,942,224.51
  5. Step 5: Solve for x
    x = 131,843,942,224.51/419,002.59
  6. Step 6: Final answer
    x = 314,661.40

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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.