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Finding the Fourth Proportional to 549,107.74, 824,194.22 and 264,998.23

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Solution

The fourth proportional to 549,107.74, 824,194.22 and 264,998.23 is: 397,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,107.74 : 824,194.22 = 264,998.23 : x
  2. Step 2: Convert to fraction form
    549,107.74/824,194.22 = 264,998.23/x
  3. Step 3: Cross multiply
    549,107.74x = 824,194.22 × 264,998.23
  4. Step 4: Simplify right side
    549,107.74x = 218,410,006,017.76
  5. Step 5: Solve for x
    x = 218,410,006,017.76/549,107.74
  6. Step 6: Final answer
    x = 397,754.38

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Double scale
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1.5x scale

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.