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Finding the Fourth Proportional to 512,190.50, 706,804.37 and 282,742.87

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Solution

The fourth proportional to 512,190.50, 706,804.37 and 282,742.87 is: 390,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,190.50 : 706,804.37 = 282,742.87 : x
  2. Step 2: Convert to fraction form
    512,190.50/706,804.37 = 282,742.87/x
  3. Step 3: Cross multiply
    512,190.50x = 706,804.37 × 282,742.87
  4. Step 4: Simplify right side
    512,190.50x = 199,843,895,042.19
  5. Step 5: Solve for x
    x = 199,843,895,042.19/512,190.50
  6. Step 6: Final answer
    x = 390,174.93

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1.5x scale

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.