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Finding the Fourth Proportional to 764,488.86, 1,055,014.92 and 420,339.30

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Solution

The fourth proportional to 764,488.86, 1,055,014.92 and 420,339.30 is: 580,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,488.86 : 1,055,014.92 = 420,339.30 : x
  2. Step 2: Convert to fraction form
    764,488.86/1,055,014.92 = 420,339.30/x
  3. Step 3: Cross multiply
    764,488.86x = 1,055,014.92 × 420,339.30
  4. Step 4: Simplify right side
    764,488.86x = 443,464,232,962.36
  5. Step 5: Solve for x
    x = 443,464,232,962.36/764,488.86
  6. Step 6: Final answer
    x = 580,079.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.