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Finding the Fourth Proportional to 470,388.96, 648,993.74 and 266,407.47

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Solution

The fourth proportional to 470,388.96, 648,993.74 and 266,407.47 is: 367,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,388.96 : 648,993.74 = 266,407.47 : x
  2. Step 2: Convert to fraction form
    470,388.96/648,993.74 = 266,407.47/x
  3. Step 3: Cross multiply
    470,388.96x = 648,993.74 × 266,407.47
  4. Step 4: Simplify right side
    470,388.96x = 172,896,778,987.20
  5. Step 5: Solve for x
    x = 172,896,778,987.20/470,388.96
  6. Step 6: Final answer
    x = 367,561.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.