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Finding the Fourth Proportional to 295,485.23, 407,784.89 and 180,727.88

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Solution

The fourth proportional to 295,485.23, 407,784.89 and 180,727.88 is: 249,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,485.23 : 407,784.89 = 180,727.88 : x
  2. Step 2: Convert to fraction form
    295,485.23/407,784.89 = 180,727.88/x
  3. Step 3: Cross multiply
    295,485.23x = 407,784.89 × 180,727.88
  4. Step 4: Simplify right side
    295,485.23x = 73,698,097,078.63
  5. Step 5: Solve for x
    x = 73,698,097,078.63/295,485.23
  6. Step 6: Final answer
    x = 249,413.81

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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.