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Finding the Fourth Proportional to 471,051.90, 706,293.36 and 211,342.10

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Solution

The fourth proportional to 471,051.90, 706,293.36 and 211,342.10 is: 316,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,051.90 : 706,293.36 = 211,342.10 : x
  2. Step 2: Convert to fraction form
    471,051.90/706,293.36 = 211,342.10/x
  3. Step 3: Cross multiply
    471,051.90x = 706,293.36 × 211,342.10
  4. Step 4: Simplify right side
    471,051.90x = 149,269,518,386.99
  5. Step 5: Solve for x
    x = 149,269,518,386.99/471,051.90
  6. Step 6: Final answer
    x = 316,885.50

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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.