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Finding the Fourth Proportional to 772,232.02, 1,065,680.49 and 470,426.02

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Solution

The fourth proportional to 772,232.02, 1,065,680.49 and 470,426.02 is: 649,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,232.02 : 1,065,680.49 = 470,426.02 : x
  2. Step 2: Convert to fraction form
    772,232.02/1,065,680.49 = 470,426.02/x
  3. Step 3: Cross multiply
    772,232.02x = 1,065,680.49 × 470,426.02
  4. Step 4: Simplify right side
    772,232.02x = 501,323,831,502.35
  5. Step 5: Solve for x
    x = 501,323,831,502.35/772,232.02
  6. Step 6: Final answer
    x = 649,188.09

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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.