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Finding the Fourth Proportional to 549,814.96, 823,322.40 and 362,257.84

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Solution

The fourth proportional to 549,814.96, 823,322.40 and 362,257.84 is: 542,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,814.96 : 823,322.40 = 362,257.84 : x
  2. Step 2: Convert to fraction form
    549,814.96/823,322.40 = 362,257.84/x
  3. Step 3: Cross multiply
    549,814.96x = 823,322.40 × 362,257.84
  4. Step 4: Simplify right side
    549,814.96x = 298,254,994,247.62
  5. Step 5: Solve for x
    x = 298,254,994,247.62/549,814.96
  6. Step 6: Final answer
    x = 542,464.31

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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.