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Finding the Fourth Proportional to 490,115.68, 676,506.32 and 286,221.60

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Solution

The fourth proportional to 490,115.68, 676,506.32 and 286,221.60 is: 395,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,115.68 : 676,506.32 = 286,221.60 : x
  2. Step 2: Convert to fraction form
    490,115.68/676,506.32 = 286,221.60/x
  3. Step 3: Cross multiply
    490,115.68x = 676,506.32 × 286,221.60
  4. Step 4: Simplify right side
    490,115.68x = 193,630,721,320.51
  5. Step 5: Solve for x
    x = 193,630,721,320.51/490,115.68
  6. Step 6: Final answer
    x = 395,071.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.