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Finding the Fourth Proportional to 414,807.44, 572,445.34 and 233,526.24

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Solution

The fourth proportional to 414,807.44, 572,445.34 and 233,526.24 is: 322,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,807.44 : 572,445.34 = 233,526.24 : x
  2. Step 2: Convert to fraction form
    414,807.44/572,445.34 = 233,526.24/x
  3. Step 3: Cross multiply
    414,807.44x = 572,445.34 × 233,526.24
  4. Step 4: Simplify right side
    414,807.44x = 133,681,007,855.72
  5. Step 5: Solve for x
    x = 133,681,007,855.72/414,807.44
  6. Step 6: Final answer
    x = 322,272.44

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Double scale
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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.