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Finding the Fourth Proportional to 970,832.70, 1,455,730.65 and 409,232.70

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Solution

The fourth proportional to 970,832.70, 1,455,730.65 and 409,232.70 is: 613,630.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,832.70 : 1,455,730.65 = 409,232.70 : x
  2. Step 2: Convert to fraction form
    970,832.70/1,455,730.65 = 409,232.70/x
  3. Step 3: Cross multiply
    970,832.70x = 1,455,730.65 × 409,232.70
  4. Step 4: Simplify right side
    970,832.70x = 595,732,584,372.26
  5. Step 5: Solve for x
    x = 595,732,584,372.26/970,832.70
  6. Step 6: Final answer
    x = 613,630.53

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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.