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Finding the Fourth Proportional to 470,477.72, 649,116.20 and 266,496.24

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Solution

The fourth proportional to 470,477.72, 649,116.20 and 266,496.24 is: 367,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,477.72 : 649,116.20 = 266,496.24 : x
  2. Step 2: Convert to fraction form
    470,477.72/649,116.20 = 266,496.24/x
  3. Step 3: Cross multiply
    470,477.72x = 649,116.20 × 266,496.24
  4. Step 4: Simplify right side
    470,477.72x = 172,987,026,623.09
  5. Step 5: Solve for x
    x = 172,987,026,623.09/470,477.72
  6. Step 6: Final answer
    x = 367,683.78

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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.