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Finding the Fourth Proportional to 419,071.04, 578,318.02 and 228,085.79

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Solution

The fourth proportional to 419,071.04, 578,318.02 and 228,085.79 is: 314,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,071.04 : 578,318.02 = 228,085.79 : x
  2. Step 2: Convert to fraction form
    419,071.04/578,318.02 = 228,085.79/x
  3. Step 3: Cross multiply
    419,071.04x = 578,318.02 × 228,085.79
  4. Step 4: Simplify right side
    419,071.04x = 131,906,122,462.94
  5. Step 5: Solve for x
    x = 131,906,122,462.94/419,071.04
  6. Step 6: Final answer
    x = 314,758.38

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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.