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Finding the Fourth Proportional to 419,207.44, 578,518.38 and 228,224.08

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Solution

The fourth proportional to 419,207.44, 578,518.38 and 228,224.08 is: 314,955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,207.44 : 578,518.38 = 228,224.08 : x
  2. Step 2: Convert to fraction form
    419,207.44/578,518.38 = 228,224.08/x
  3. Step 3: Cross multiply
    419,207.44x = 578,518.38 × 228,224.08
  4. Step 4: Simplify right side
    419,207.44x = 132,031,825,038.59
  5. Step 5: Solve for x
    x = 132,031,825,038.59/419,207.44
  6. Step 6: Final answer
    x = 314,955.82

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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.