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Finding the Fourth Proportional to 549,393.84, 827,834.22 and 451,741.50

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Solution

The fourth proportional to 549,393.84, 827,834.22 and 451,741.50 is: 680,690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,393.84 : 827,834.22 = 451,741.50 : x
  2. Step 2: Convert to fraction form
    549,393.84/827,834.22 = 451,741.50/x
  3. Step 3: Cross multiply
    549,393.84x = 827,834.22 × 451,741.50
  4. Step 4: Simplify right side
    549,393.84x = 373,967,072,294.13
  5. Step 5: Solve for x
    x = 373,967,072,294.13/549,393.84
  6. Step 6: Final answer
    x = 680,690.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.