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Finding the Fourth Proportional to 705,049.98, 973,220.52 and 418,569.38

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Solution

The fourth proportional to 705,049.98, 973,220.52 and 418,569.38 is: 577,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,049.98 : 973,220.52 = 418,569.38 : x
  2. Step 2: Convert to fraction form
    705,049.98/973,220.52 = 418,569.38/x
  3. Step 3: Cross multiply
    705,049.98x = 973,220.52 × 418,569.38
  4. Step 4: Simplify right side
    705,049.98x = 407,360,309,659.68
  5. Step 5: Solve for x
    x = 407,360,309,659.68/705,049.98
  6. Step 6: Final answer
    x = 577,775.08

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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.