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Finding the Fourth Proportional to 414,094.20, 571,436.76 and 232,813.80

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Solution

The fourth proportional to 414,094.20, 571,436.76 and 232,813.80 is: 321,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,094.20 : 571,436.76 = 232,813.80 : x
  2. Step 2: Convert to fraction form
    414,094.20/571,436.76 = 232,813.80/x
  3. Step 3: Cross multiply
    414,094.20x = 571,436.76 × 232,813.80
  4. Step 4: Simplify right side
    414,094.20x = 133,038,363,555.29
  5. Step 5: Solve for x
    x = 133,038,363,555.29/414,094.20
  6. Step 6: Final answer
    x = 321,275.60

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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.