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Finding the Fourth Proportional to 316,913.40, 475,050.16 and 198,667.80

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Solution

The fourth proportional to 316,913.40, 475,050.16 and 198,667.80 is: 297,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,913.40 : 475,050.16 = 198,667.80 : x
  2. Step 2: Convert to fraction form
    316,913.40/475,050.16 = 198,667.80/x
  3. Step 3: Cross multiply
    316,913.40x = 475,050.16 × 198,667.80
  4. Step 4: Simplify right side
    316,913.40x = 94,377,170,176.85
  5. Step 5: Solve for x
    x = 94,377,170,176.85/316,913.40
  6. Step 6: Final answer
    x = 297,801.13

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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.