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Finding the Fourth Proportional to 414,643.32, 621,915.64 and 243,967.11

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Solution

The fourth proportional to 414,643.32, 621,915.64 and 243,967.11 is: 365,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,643.32 : 621,915.64 = 243,967.11 : x
  2. Step 2: Convert to fraction form
    414,643.32/621,915.64 = 243,967.11/x
  3. Step 3: Cross multiply
    414,643.32x = 621,915.64 × 243,967.11
  4. Step 4: Simplify right side
    414,643.32x = 151,726,958,412.50
  5. Step 5: Solve for x
    x = 151,726,958,412.50/414,643.32
  6. Step 6: Final answer
    x = 365,921.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.