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Finding the Fourth Proportional to 470,192.84, 648,906.32 and 266,279.80

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Solution

The fourth proportional to 470,192.84, 648,906.32 and 266,279.80 is: 367,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,192.84 : 648,906.32 = 266,279.80 : x
  2. Step 2: Convert to fraction form
    470,192.84/648,906.32 = 266,279.80/x
  3. Step 3: Cross multiply
    470,192.84x = 648,906.32 × 266,279.80
  4. Step 4: Simplify right side
    470,192.84x = 172,790,645,108.34
  5. Step 5: Solve for x
    x = 172,790,645,108.34/470,192.84
  6. Step 6: Final answer
    x = 367,488.89

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1.5x scale

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.