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Finding the Fourth Proportional to 772,262.08, 1,065,722.08 and 470,456.08

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Solution

The fourth proportional to 772,262.08, 1,065,722.08 and 470,456.08 is: 649,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,262.08 : 1,065,722.08 = 470,456.08 : x
  2. Step 2: Convert to fraction form
    772,262.08/1,065,722.08 = 470,456.08/x
  3. Step 3: Cross multiply
    772,262.08x = 1,065,722.08 × 470,456.08
  4. Step 4: Simplify right side
    772,262.08x = 501,375,432,126.25
  5. Step 5: Solve for x
    x = 501,375,432,126.25/772,262.08
  6. Step 6: Final answer
    x = 649,229.64

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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.