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Finding the Fourth Proportional to 471,830.52, 707,741.46 and 191,281.08

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Solution

The fourth proportional to 471,830.52, 707,741.46 and 191,281.08 is: 286,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,830.52 : 707,741.46 = 191,281.08 : x
  2. Step 2: Convert to fraction form
    471,830.52/707,741.46 = 191,281.08/x
  3. Step 3: Cross multiply
    471,830.52x = 707,741.46 × 191,281.08
  4. Step 4: Simplify right side
    471,830.52x = 135,377,550,829.58
  5. Step 5: Solve for x
    x = 135,377,550,829.58/471,830.52
  6. Step 6: Final answer
    x = 286,919.87

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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.