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Finding the Fourth Proportional to 470,468.71, 649,103.79 and 266,487.22

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Solution

The fourth proportional to 470,468.71, 649,103.79 and 266,487.22 is: 367,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,468.71 : 649,103.79 = 266,487.22 : x
  2. Step 2: Convert to fraction form
    470,468.71/649,103.79 = 266,487.22/x
  3. Step 3: Cross multiply
    470,468.71x = 649,103.79 × 266,487.22
  4. Step 4: Simplify right side
    470,468.71x = 172,977,864,488.56
  5. Step 5: Solve for x
    x = 172,977,864,488.56/470,468.71
  6. Step 6: Final answer
    x = 367,671.35

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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.