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Finding the Fourth Proportional to 411,478.48, 616,582.68 and 277,834.96

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Solution

The fourth proportional to 411,478.48, 616,582.68 and 277,834.96 is: 416,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,478.48 : 616,582.68 = 277,834.96 : x
  2. Step 2: Convert to fraction form
    411,478.48/616,582.68 = 277,834.96/x
  3. Step 3: Cross multiply
    411,478.48x = 616,582.68 × 277,834.96
  4. Step 4: Simplify right side
    411,478.48x = 171,308,224,234.49
  5. Step 5: Solve for x
    x = 171,308,224,234.49/411,478.48
  6. Step 6: Final answer
    x = 416,323.65

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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.