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Finding the Fourth Proportional to 549,796.20, 824,186.83 and 381,395.98

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Solution

The fourth proportional to 549,796.20, 824,186.83 and 381,395.98 is: 571,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,796.20 : 824,186.83 = 381,395.98 : x
  2. Step 2: Convert to fraction form
    549,796.20/824,186.83 = 381,395.98/x
  3. Step 3: Cross multiply
    549,796.20x = 824,186.83 × 381,395.98
  4. Step 4: Simplify right side
    549,796.20x = 314,341,543,730.94
  5. Step 5: Solve for x
    x = 314,341,543,730.94/549,796.20
  6. Step 6: Final answer
    x = 571,741.94

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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.