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Finding the Fourth Proportional to 408,024.60, 612,036.90 and 378,533.40

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Solution

The fourth proportional to 408,024.60, 612,036.90 and 378,533.40 is: 567,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,024.60 : 612,036.90 = 378,533.40 : x
  2. Step 2: Convert to fraction form
    408,024.60/612,036.90 = 378,533.40/x
  3. Step 3: Cross multiply
    408,024.60x = 612,036.90 × 378,533.40
  4. Step 4: Simplify right side
    408,024.60x = 231,676,408,682.46
  5. Step 5: Solve for x
    x = 231,676,408,682.46/408,024.60
  6. Step 6: Final answer
    x = 567,800.10

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Why These Related Problems?

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