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Finding the Fourth Proportional to 723,067, 1,084,978.74 and 525,023.32

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Solution

The fourth proportional to 723,067, 1,084,978.74 and 525,023.32 is: 787,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,067 : 1,084,978.74 = 525,023.32 : x
  2. Step 2: Convert to fraction form
    723,067/1,084,978.74 = 525,023.32/x
  3. Step 3: Cross multiply
    723,067x = 1,084,978.74 × 525,023.32
  4. Step 4: Simplify right side
    723,067x = 569,639,140,204.22
  5. Step 5: Solve for x
    x = 569,639,140,204.22/723,067
  6. Step 6: Final answer
    x = 787,809.62

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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.