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Finding the Fourth Proportional to 502,219.28, 753,136.16 and 213,848.24

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Solution

The fourth proportional to 502,219.28, 753,136.16 and 213,848.24 is: 320,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,219.28 : 753,136.16 = 213,848.24 : x
  2. Step 2: Convert to fraction form
    502,219.28/753,136.16 = 213,848.24/x
  3. Step 3: Cross multiply
    502,219.28x = 753,136.16 × 213,848.24
  4. Step 4: Simplify right side
    502,219.28x = 161,056,842,296.36
  5. Step 5: Solve for x
    x = 161,056,842,296.36/502,219.28
  6. Step 6: Final answer
    x = 320,690.28

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1.5x scale

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.