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Finding the Fourth Proportional to 493,504.92, 680,986.08 and 286,741.08

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Solution

The fourth proportional to 493,504.92, 680,986.08 and 286,741.08 is: 395,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,504.92 : 680,986.08 = 286,741.08 : x
  2. Step 2: Convert to fraction form
    493,504.92/680,986.08 = 286,741.08/x
  3. Step 3: Cross multiply
    493,504.92x = 680,986.08 × 286,741.08
  4. Step 4: Simplify right side
    493,504.92x = 195,266,684,044.17
  5. Step 5: Solve for x
    x = 195,266,684,044.17/493,504.92
  6. Step 6: Final answer
    x = 395,673.23

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1.5x scale

Why These Related Problems?

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