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Finding the Fourth Proportional to 631,567.63, 947,415.21 and 205,085.62

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Solution

The fourth proportional to 631,567.63, 947,415.21 and 205,085.62 is: 307,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,567.63 : 947,415.21 = 205,085.62 : x
  2. Step 2: Convert to fraction form
    631,567.63/947,415.21 = 205,085.62/x
  3. Step 3: Cross multiply
    631,567.63x = 947,415.21 × 205,085.62
  4. Step 4: Simplify right side
    631,567.63x = 194,301,235,740.28
  5. Step 5: Solve for x
    x = 194,301,235,740.28/631,567.63
  6. Step 6: Final answer
    x = 307,649.14

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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.