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Finding the Fourth Proportional to 470,506.35, 649,289.42 and 255,647.96

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Solution

The fourth proportional to 470,506.35, 649,289.42 and 255,647.96 is: 352,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,506.35 : 649,289.42 = 255,647.96 : x
  2. Step 2: Convert to fraction form
    470,506.35/649,289.42 = 255,647.96/x
  3. Step 3: Cross multiply
    470,506.35x = 649,289.42 × 255,647.96
  4. Step 4: Simplify right side
    470,506.35x = 165,989,514,541.41
  5. Step 5: Solve for x
    x = 165,989,514,541.41/470,506.35
  6. Step 6: Final answer
    x = 352,789.10

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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.