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Finding the Fourth Proportional to 502,921.12, 694,318.08 and 333,384.88

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Solution

The fourth proportional to 502,921.12, 694,318.08 and 333,384.88 is: 460,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,921.12 : 694,318.08 = 333,384.88 : x
  2. Step 2: Convert to fraction form
    502,921.12/694,318.08 = 333,384.88/x
  3. Step 3: Cross multiply
    502,921.12x = 694,318.08 × 333,384.88
  4. Step 4: Simplify right side
    502,921.12x = 231,475,149,782.63
  5. Step 5: Solve for x
    x = 231,475,149,782.63/502,921.12
  6. Step 6: Final answer
    x = 460,261.34

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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.