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Finding the Fourth Proportional to 970,699.20, 1,455,530.40 and 409,099.20

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Solution

The fourth proportional to 970,699.20, 1,455,530.40 and 409,099.20 is: 613,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,699.20 : 1,455,530.40 = 409,099.20 : x
  2. Step 2: Convert to fraction form
    970,699.20/1,455,530.40 = 409,099.20/x
  3. Step 3: Cross multiply
    970,699.20x = 1,455,530.40 × 409,099.20
  4. Step 4: Simplify right side
    970,699.20x = 595,456,322,215.68
  5. Step 5: Solve for x
    x = 595,456,322,215.68/970,699.20
  6. Step 6: Final answer
    x = 613,430.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.