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Finding the Fourth Proportional to 624,783.24, 862,216.66 and 383,199

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Solution

The fourth proportional to 624,783.24, 862,216.66 and 383,199 is: 528,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,783.24 : 862,216.66 = 383,199 : x
  2. Step 2: Convert to fraction form
    624,783.24/862,216.66 = 383,199/x
  3. Step 3: Cross multiply
    624,783.24x = 862,216.66 × 383,199
  4. Step 4: Simplify right side
    624,783.24x = 330,400,561,895.34
  5. Step 5: Solve for x
    x = 330,400,561,895.34/624,783.24
  6. Step 6: Final answer
    x = 528,824.30

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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.