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Finding the Fourth Proportional to 411,365.92, 616,052.76 and 284,650.96

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Solution

The fourth proportional to 411,365.92, 616,052.76 and 284,650.96 is: 426,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,365.92 : 616,052.76 = 284,650.96 : x
  2. Step 2: Convert to fraction form
    411,365.92/616,052.76 = 284,650.96/x
  3. Step 3: Cross multiply
    411,365.92x = 616,052.76 × 284,650.96
  4. Step 4: Simplify right side
    411,365.92x = 175,360,009,544.65
  5. Step 5: Solve for x
    x = 175,360,009,544.65/411,365.92
  6. Step 6: Final answer
    x = 426,287.16

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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.