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Finding the Fourth Proportional to 568,435.16, 784,442.40 and 313,785.74

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Solution

The fourth proportional to 568,435.16, 784,442.40 and 313,785.74 is: 433,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,435.16 : 784,442.40 = 313,785.74 : x
  2. Step 2: Convert to fraction form
    568,435.16/784,442.40 = 313,785.74/x
  3. Step 3: Cross multiply
    568,435.16x = 784,442.40 × 313,785.74
  4. Step 4: Simplify right side
    568,435.16x = 246,146,838,971.38
  5. Step 5: Solve for x
    x = 246,146,838,971.38/568,435.16
  6. Step 6: Final answer
    x = 433,025.36

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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.