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Finding the Fourth Proportional to 493,497.80, 740,592.30 and 213,216.20

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Solution

The fourth proportional to 493,497.80, 740,592.30 and 213,216.20 is: 319,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,497.80 : 740,592.30 = 213,216.20 : x
  2. Step 2: Convert to fraction form
    493,497.80/740,592.30 = 213,216.20/x
  3. Step 3: Cross multiply
    493,497.80x = 740,592.30 × 213,216.20
  4. Step 4: Simplify right side
    493,497.80x = 157,906,275,955.26
  5. Step 5: Solve for x
    x = 157,906,275,955.26/493,497.80
  6. Step 6: Final answer
    x = 319,973.62

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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.