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Finding the Fourth Proportional to 414,603.82, 572,182.32 and 233,333.20

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Solution

The fourth proportional to 414,603.82, 572,182.32 and 233,333.20 is: 322,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,603.82 : 572,182.32 = 233,333.20 : x
  2. Step 2: Convert to fraction form
    414,603.82/572,182.32 = 233,333.20/x
  3. Step 3: Cross multiply
    414,603.82x = 572,182.32 × 233,333.20
  4. Step 4: Simplify right side
    414,603.82x = 133,509,131,709.02
  5. Step 5: Solve for x
    x = 133,509,131,709.02/414,603.82
  6. Step 6: Final answer
    x = 322,016.16

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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.