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Finding the Fourth Proportional to 631,886.30, 947,829.45 and 211,162.18

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Solution

The fourth proportional to 631,886.30, 947,829.45 and 211,162.18 is: 316,743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,886.30 : 947,829.45 = 211,162.18 : x
  2. Step 2: Convert to fraction form
    631,886.30/947,829.45 = 211,162.18/x
  3. Step 3: Cross multiply
    631,886.30x = 947,829.45 × 211,162.18
  4. Step 4: Simplify right side
    631,886.30x = 200,145,727,663.15
  5. Step 5: Solve for x
    x = 200,145,727,663.15/631,886.30
  6. Step 6: Final answer
    x = 316,743.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.