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Finding the Fourth Proportional to 526,814.83, 727,004.41 and 285,097.40

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Solution

The fourth proportional to 526,814.83, 727,004.41 and 285,097.40 is: 393,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,814.83 : 727,004.41 = 285,097.40 : x
  2. Step 2: Convert to fraction form
    526,814.83/727,004.41 = 285,097.40/x
  3. Step 3: Cross multiply
    526,814.83x = 727,004.41 × 285,097.40
  4. Step 4: Simplify right side
    526,814.83x = 207,267,067,079.53
  5. Step 5: Solve for x
    x = 207,267,067,079.53/526,814.83
  6. Step 6: Final answer
    x = 393,434.38

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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.