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Finding the Fourth Proportional to 705,627.66, 973,849.62 and 419,148.88

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Solution

The fourth proportional to 705,627.66, 973,849.62 and 419,148.88 is: 578,475.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,627.66 : 973,849.62 = 419,148.88 : x
  2. Step 2: Convert to fraction form
    705,627.66/973,849.62 = 419,148.88/x
  3. Step 3: Cross multiply
    705,627.66x = 973,849.62 × 419,148.88
  4. Step 4: Simplify right side
    705,627.66x = 408,187,977,511.43
  5. Step 5: Solve for x
    x = 408,187,977,511.43/705,627.66
  6. Step 6: Final answer
    x = 578,475.02

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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.