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Finding the Fourth Proportional to 522,025.20, 783,145.80 and 297,493.20

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Solution

The fourth proportional to 522,025.20, 783,145.80 and 297,493.20 is: 446,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,025.20 : 783,145.80 = 297,493.20 : x
  2. Step 2: Convert to fraction form
    522,025.20/783,145.80 = 297,493.20/x
  3. Step 3: Cross multiply
    522,025.20x = 783,145.80 × 297,493.20
  4. Step 4: Simplify right side
    522,025.20x = 232,980,550,108.56
  5. Step 5: Solve for x
    x = 232,980,550,108.56/522,025.20
  6. Step 6: Final answer
    x = 446,301.35

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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.