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Finding the Fourth Proportional to 470,078.23, 648,723.48 and 266,125

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Solution

The fourth proportional to 470,078.23, 648,723.48 and 266,125 is: 367,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,078.23 : 648,723.48 = 266,125 : x
  2. Step 2: Convert to fraction form
    470,078.23/648,723.48 = 266,125/x
  3. Step 3: Cross multiply
    470,078.23x = 648,723.48 × 266,125
  4. Step 4: Simplify right side
    470,078.23x = 172,641,536,115
  5. Step 5: Solve for x
    x = 172,641,536,115/470,078.23
  6. Step 6: Final answer
    x = 367,261.29

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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.