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Finding the Fourth Proportional to 631,531.84, 947,446.56 and 205,066.12

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Solution

The fourth proportional to 631,531.84, 947,446.56 and 205,066.12 is: 307,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,531.84 : 947,446.56 = 205,066.12 : x
  2. Step 2: Convert to fraction form
    631,531.84/947,446.56 = 205,066.12/x
  3. Step 3: Cross multiply
    631,531.84x = 947,446.56 × 205,066.12
  4. Step 4: Simplify right side
    631,531.84x = 194,289,189,966.55
  5. Step 5: Solve for x
    x = 194,289,189,966.55/631,531.84
  6. Step 6: Final answer
    x = 307,647.50

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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.