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Finding the Fourth Proportional to 421,111.36, 581,141.28 and 230,132.80

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Solution

The fourth proportional to 421,111.36, 581,141.28 and 230,132.80 is: 317,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,111.36 : 581,141.28 = 230,132.80 : x
  2. Step 2: Convert to fraction form
    421,111.36/581,141.28 = 230,132.80/x
  3. Step 3: Cross multiply
    421,111.36x = 581,141.28 × 230,132.80
  4. Step 4: Simplify right side
    421,111.36x = 133,739,669,961.98
  5. Step 5: Solve for x
    x = 133,739,669,961.98/421,111.36
  6. Step 6: Final answer
    x = 317,587.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.