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Finding the Fourth Proportional to 317,984.92, 475,938.96 and 233,722.78

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Solution

The fourth proportional to 317,984.92, 475,938.96 and 233,722.78 is: 349,820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,984.92 : 475,938.96 = 233,722.78 : x
  2. Step 2: Convert to fraction form
    317,984.92/475,938.96 = 233,722.78/x
  3. Step 3: Cross multiply
    317,984.92x = 475,938.96 × 233,722.78
  4. Step 4: Simplify right side
    317,984.92x = 111,237,776,841.51
  5. Step 5: Solve for x
    x = 111,237,776,841.51/317,984.92
  6. Step 6: Final answer
    x = 349,820.92

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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.