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Finding the Fourth Proportional to 470,551.26, 649,364.85 and 255,691.34

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Solution

The fourth proportional to 470,551.26, 649,364.85 and 255,691.34 is: 352,856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,551.26 : 649,364.85 = 255,691.34 : x
  2. Step 2: Convert to fraction form
    470,551.26/649,364.85 = 255,691.34/x
  3. Step 3: Cross multiply
    470,551.26x = 649,364.85 × 255,691.34
  4. Step 4: Simplify right side
    470,551.26x = 166,036,968,645.40
  5. Step 5: Solve for x
    x = 166,036,968,645.40/470,551.26
  6. Step 6: Final answer
    x = 352,856.28

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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.