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Finding the Fourth Proportional to 412,858.60, 577,302.20 and 412,858.60

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Solution

The fourth proportional to 412,858.60, 577,302.20 and 412,858.60 is: 577,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,858.60 : 577,302.20 = 412,858.60 : x
  2. Step 2: Convert to fraction form
    412,858.60/577,302.20 = 412,858.60/x
  3. Step 3: Cross multiply
    412,858.60x = 577,302.20 × 412,858.60
  4. Step 4: Simplify right side
    412,858.60x = 238,344,178,068.92
  5. Step 5: Solve for x
    x = 238,344,178,068.92/412,858.60
  6. Step 6: Final answer
    x = 577,302.20

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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.