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Finding the Fourth Proportional to 493,709.76, 740,065.95 and 194,400.36

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Solution

The fourth proportional to 493,709.76, 740,065.95 and 194,400.36 is: 291,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,709.76 : 740,065.95 = 194,400.36 : x
  2. Step 2: Convert to fraction form
    493,709.76/740,065.95 = 194,400.36/x
  3. Step 3: Cross multiply
    493,709.76x = 740,065.95 × 194,400.36
  4. Step 4: Simplify right side
    493,709.76x = 143,869,087,103.74
  5. Step 5: Solve for x
    x = 143,869,087,103.74/493,709.76
  6. Step 6: Final answer
    x = 291,404.18

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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.