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Finding the Fourth Proportional to 387,004.50, 580,357.62 and 150,316.02

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Solution

The fourth proportional to 387,004.50, 580,357.62 and 150,316.02 is: 225,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,004.50 : 580,357.62 = 150,316.02 : x
  2. Step 2: Convert to fraction form
    387,004.50/580,357.62 = 150,316.02/x
  3. Step 3: Cross multiply
    387,004.50x = 580,357.62 × 150,316.02
  4. Step 4: Simplify right side
    387,004.50x = 87,237,047,615.07
  5. Step 5: Solve for x
    x = 87,237,047,615.07/387,004.50
  6. Step 6: Final answer
    x = 225,416.11

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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.