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Finding the Fourth Proportional to 414,191.54, 571,572.99 and 232,898.83

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Solution

The fourth proportional to 414,191.54, 571,572.99 and 232,898.83 is: 321,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,191.54 : 571,572.99 = 232,898.83 : x
  2. Step 2: Convert to fraction form
    414,191.54/571,572.99 = 232,898.83/x
  3. Step 3: Cross multiply
    414,191.54x = 571,572.99 × 232,898.83
  4. Step 4: Simplify right side
    414,191.54x = 133,118,679,201.67
  5. Step 5: Solve for x
    x = 133,118,679,201.67/414,191.54
  6. Step 6: Final answer
    x = 321,394.01

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1.5x scale

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.