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Finding the Fourth Proportional to 357,952.71, 493,984.10 and 194,620.21

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Solution

The fourth proportional to 357,952.71, 493,984.10 and 194,620.21 is: 268,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,952.71 : 493,984.10 = 194,620.21 : x
  2. Step 2: Convert to fraction form
    357,952.71/493,984.10 = 194,620.21/x
  3. Step 3: Cross multiply
    357,952.71x = 493,984.10 × 194,620.21
  4. Step 4: Simplify right side
    357,952.71x = 96,139,288,165.34
  5. Step 5: Solve for x
    x = 96,139,288,165.34/357,952.71
  6. Step 6: Final answer
    x = 268,580.97

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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.