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Finding the Fourth Proportional to 407,460.24, 611,315.49 and 194,499.90

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Solution

The fourth proportional to 407,460.24, 611,315.49 and 194,499.90 is: 291,809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,460.24 : 611,315.49 = 194,499.90 : x
  2. Step 2: Convert to fraction form
    407,460.24/611,315.49 = 194,499.90/x
  3. Step 3: Cross multiply
    407,460.24x = 611,315.49 × 194,499.90
  4. Step 4: Simplify right side
    407,460.24x = 118,900,801,673.45
  5. Step 5: Solve for x
    x = 118,900,801,673.45/407,460.24
  6. Step 6: Final answer
    x = 291,809.58

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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.