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Finding the Fourth Proportional to 470,002.33, 648,686.05 and 266,064.85

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Solution

The fourth proportional to 470,002.33, 648,686.05 and 266,064.85 is: 367,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,002.33 : 648,686.05 = 266,064.85 : x
  2. Step 2: Convert to fraction form
    470,002.33/648,686.05 = 266,064.85/x
  3. Step 3: Cross multiply
    470,002.33x = 648,686.05 × 266,064.85
  4. Step 4: Simplify right side
    470,002.33x = 172,592,558,232.65
  5. Step 5: Solve for x
    x = 172,592,558,232.65/470,002.33
  6. Step 6: Final answer
    x = 367,216.39

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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.