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Finding the Fourth Proportional to 705,950.61, 974,296.85 and 404,138.13

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Solution

The fourth proportional to 705,950.61, 974,296.85 and 404,138.13 is: 557,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,950.61 : 974,296.85 = 404,138.13 : x
  2. Step 2: Convert to fraction form
    705,950.61/974,296.85 = 404,138.13/x
  3. Step 3: Cross multiply
    705,950.61x = 974,296.85 × 404,138.13
  4. Step 4: Simplify right side
    705,950.61x = 393,750,507,023.89
  5. Step 5: Solve for x
    x = 393,750,507,023.89/705,950.61
  6. Step 6: Final answer
    x = 557,759.28

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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.