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Finding the Fourth Proportional to 631,879.16, 947,878.14 and 232,527.56

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Solution

The fourth proportional to 631,879.16, 947,878.14 and 232,527.56 is: 348,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,879.16 : 947,878.14 = 232,527.56 : x
  2. Step 2: Convert to fraction form
    631,879.16/947,878.14 = 232,527.56/x
  3. Step 3: Cross multiply
    631,879.16x = 947,878.14 × 232,527.56
  4. Step 4: Simplify right side
    631,879.16x = 220,407,791,071.54
  5. Step 5: Solve for x
    x = 220,407,791,071.54/631,879.16
  6. Step 6: Final answer
    x = 348,813.20

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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.