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Finding the Fourth Proportional to 471,386.13, 706,774.92 and 201,690.27

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Solution

The fourth proportional to 471,386.13, 706,774.92 and 201,690.27 is: 302,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,386.13 : 706,774.92 = 201,690.27 : x
  2. Step 2: Convert to fraction form
    471,386.13/706,774.92 = 201,690.27/x
  3. Step 3: Cross multiply
    471,386.13x = 706,774.92 × 201,690.27
  4. Step 4: Simplify right side
    471,386.13x = 142,549,624,444.03
  5. Step 5: Solve for x
    x = 142,549,624,444.03/471,386.13
  6. Step 6: Final answer
    x = 302,405.22

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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.