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Finding the Fourth Proportional to 333,051.78, 499,582.22 and 108,413.16

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Solution

The fourth proportional to 333,051.78, 499,582.22 and 108,413.16 is: 162,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,051.78 : 499,582.22 = 108,413.16 : x
  2. Step 2: Convert to fraction form
    333,051.78/499,582.22 = 108,413.16/x
  3. Step 3: Cross multiply
    333,051.78x = 499,582.22 × 108,413.16
  4. Step 4: Simplify right side
    333,051.78x = 54,161,287,150.02
  5. Step 5: Solve for x
    x = 54,161,287,150.02/333,051.78
  6. Step 6: Final answer
    x = 162,621.22

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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.