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Finding the Fourth Proportional to 412,848.60, 577,288.20 and 412,848.60

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Solution

The fourth proportional to 412,848.60, 577,288.20 and 412,848.60 is: 577,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,848.60 : 577,288.20 = 412,848.60 : x
  2. Step 2: Convert to fraction form
    412,848.60/577,288.20 = 412,848.60/x
  3. Step 3: Cross multiply
    412,848.60x = 577,288.20 × 412,848.60
  4. Step 4: Simplify right side
    412,848.60x = 238,332,625,166.52
  5. Step 5: Solve for x
    x = 238,332,625,166.52/412,848.60
  6. Step 6: Final answer
    x = 577,288.20

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Why These Related Problems?

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