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Finding the Fourth Proportional to 772,236.02, 1,065,686.01 and 470,430.02

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Solution

The fourth proportional to 772,236.02, 1,065,686.01 and 470,430.02 is: 649,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,236.02 : 1,065,686.01 = 470,430.02 : x
  2. Step 2: Convert to fraction form
    772,236.02/1,065,686.01 = 470,430.02/x
  3. Step 3: Cross multiply
    772,236.02x = 1,065,686.01 × 470,430.02
  4. Step 4: Simplify right side
    772,236.02x = 501,330,690,998.02
  5. Step 5: Solve for x
    x = 501,330,690,998.02/772,236.02
  6. Step 6: Final answer
    x = 649,193.61

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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.