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Finding the Fourth Proportional to 415,007.20, 622,510.80 and 205,055.20

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Solution

The fourth proportional to 415,007.20, 622,510.80 and 205,055.20 is: 307,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,007.20 : 622,510.80 = 205,055.20 : x
  2. Step 2: Convert to fraction form
    415,007.20/622,510.80 = 205,055.20/x
  3. Step 3: Cross multiply
    415,007.20x = 622,510.80 × 205,055.20
  4. Step 4: Simplify right side
    415,007.20x = 127,649,076,596.16
  5. Step 5: Solve for x
    x = 127,649,076,596.16/415,007.20
  6. Step 6: Final answer
    x = 307,582.80

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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.