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Finding the Fourth Proportional to 380,008.30, 569,690.51 and 166,614.49

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Solution

The fourth proportional to 380,008.30, 569,690.51 and 166,614.49 is: 249,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,008.30 : 569,690.51 = 166,614.49 : x
  2. Step 2: Convert to fraction form
    380,008.30/569,690.51 = 166,614.49/x
  3. Step 3: Cross multiply
    380,008.30x = 569,690.51 × 166,614.49
  4. Step 4: Simplify right side
    380,008.30x = 94,918,692,149.00
  5. Step 5: Solve for x
    x = 94,918,692,149.00/380,008.30
  6. Step 6: Final answer
    x = 249,780.58

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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.