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Finding the Fourth Proportional to 471,207.07, 706,807.31 and 190,720.27

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Solution

The fourth proportional to 471,207.07, 706,807.31 and 190,720.27 is: 286,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,207.07 : 706,807.31 = 190,720.27 : x
  2. Step 2: Convert to fraction form
    471,207.07/706,807.31 = 190,720.27/x
  3. Step 3: Cross multiply
    471,207.07x = 706,807.31 × 190,720.27
  4. Step 4: Simplify right side
    471,207.07x = 134,802,480,047.57
  5. Step 5: Solve for x
    x = 134,802,480,047.57/471,207.07
  6. Step 6: Final answer
    x = 286,079.07

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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.