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Finding the Fourth Proportional to 384,214.16, 575,836.46 and 194,722.16

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Solution

The fourth proportional to 384,214.16, 575,836.46 and 194,722.16 is: 291,837.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,214.16 : 575,836.46 = 194,722.16 : x
  2. Step 2: Convert to fraction form
    384,214.16/575,836.46 = 194,722.16/x
  3. Step 3: Cross multiply
    384,214.16x = 575,836.46 × 194,722.16
  4. Step 4: Simplify right side
    384,214.16x = 112,128,119,297.95
  5. Step 5: Solve for x
    x = 112,128,119,297.95/384,214.16
  6. Step 6: Final answer
    x = 291,837.55

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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.