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Finding the Fourth Proportional to 514,725.98, 772,186.23 and 194,973.62

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Solution

The fourth proportional to 514,725.98, 772,186.23 and 194,973.62 is: 292,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,725.98 : 772,186.23 = 194,973.62 : x
  2. Step 2: Convert to fraction form
    514,725.98/772,186.23 = 194,973.62/x
  3. Step 3: Cross multiply
    514,725.98x = 772,186.23 × 194,973.62
  4. Step 4: Simplify right side
    514,725.98x = 150,555,940,716.32
  5. Step 5: Solve for x
    x = 150,555,940,716.32/514,725.98
  6. Step 6: Final answer
    x = 292,497.27

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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.