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Finding the Fourth Proportional to 705,672.07, 973,808.51 and 415,300.73

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Solution

The fourth proportional to 705,672.07, 973,808.51 and 415,300.73 is: 573,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,672.07 : 973,808.51 = 415,300.73 : x
  2. Step 2: Convert to fraction form
    705,672.07/973,808.51 = 415,300.73/x
  3. Step 3: Cross multiply
    705,672.07x = 973,808.51 × 415,300.73
  4. Step 4: Simplify right side
    705,672.07x = 404,423,378,137.67
  5. Step 5: Solve for x
    x = 404,423,378,137.67/705,672.07
  6. Step 6: Final answer
    x = 573,103.85

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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.