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Finding the Fourth Proportional to 470,443.96, 649,069.64 and 266,462.47

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Solution

The fourth proportional to 470,443.96, 649,069.64 and 266,462.47 is: 367,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,443.96 : 649,069.64 = 266,462.47 : x
  2. Step 2: Convert to fraction form
    470,443.96/649,069.64 = 266,462.47/x
  3. Step 3: Cross multiply
    470,443.96x = 649,069.64 × 266,462.47
  4. Step 4: Simplify right side
    470,443.96x = 172,952,698,144.10
  5. Step 5: Solve for x
    x = 172,952,698,144.10/470,443.96
  6. Step 6: Final answer
    x = 367,637.20

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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.