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Finding the Fourth Proportional to 316,494.04, 474,413 and 197,893.04

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Solution

The fourth proportional to 316,494.04, 474,413 and 197,893.04 is: 296,634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,494.04 : 474,413 = 197,893.04 : x
  2. Step 2: Convert to fraction form
    316,494.04/474,413 = 197,893.04/x
  3. Step 3: Cross multiply
    316,494.04x = 474,413 × 197,893.04
  4. Step 4: Simplify right side
    316,494.04x = 93,883,030,785.52
  5. Step 5: Solve for x
    x = 93,883,030,785.52/316,494.04
  6. Step 6: Final answer
    x = 296,634.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.