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Finding the Fourth Proportional to 619,830, 929,657.70 and 199,051.20

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Solution

The fourth proportional to 619,830, 929,657.70 and 199,051.20 is: 298,548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,830 : 929,657.70 = 199,051.20 : x
  2. Step 2: Convert to fraction form
    619,830/929,657.70 = 199,051.20/x
  3. Step 3: Cross multiply
    619,830x = 929,657.70 × 199,051.20
  4. Step 4: Simplify right side
    619,830x = 185,049,480,774.24
  5. Step 5: Solve for x
    x = 185,049,480,774.24/619,830
  6. Step 6: Final answer
    x = 298,548.76

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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.