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Finding the Fourth Proportional to 631,597.28, 947,459.04 and 182,329.12

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Solution

The fourth proportional to 631,597.28, 947,459.04 and 182,329.12 is: 273,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,597.28 : 947,459.04 = 182,329.12 : x
  2. Step 2: Convert to fraction form
    631,597.28/947,459.04 = 182,329.12/x
  3. Step 3: Cross multiply
    631,597.28x = 947,459.04 × 182,329.12
  4. Step 4: Simplify right side
    631,597.28x = 172,749,372,999.25
  5. Step 5: Solve for x
    x = 172,749,372,999.25/631,597.28
  6. Step 6: Final answer
    x = 273,511.90

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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.