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Finding the Fourth Proportional to 412,869.60, 577,317.60 and 412,869.60

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Solution

The fourth proportional to 412,869.60, 577,317.60 and 412,869.60 is: 577,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,869.60 : 577,317.60 = 412,869.60 : x
  2. Step 2: Convert to fraction form
    412,869.60/577,317.60 = 412,869.60/x
  3. Step 3: Cross multiply
    412,869.60x = 577,317.60 × 412,869.60
  4. Step 4: Simplify right side
    412,869.60x = 238,356,886,584.96
  5. Step 5: Solve for x
    x = 238,356,886,584.96/412,869.60
  6. Step 6: Final answer
    x = 577,317.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.