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Finding the Fourth Proportional to 407,409.47, 562,294.65 and 235,296.50

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Solution

The fourth proportional to 407,409.47, 562,294.65 and 235,296.50 is: 324,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,409.47 : 562,294.65 = 235,296.50 : x
  2. Step 2: Convert to fraction form
    407,409.47/562,294.65 = 235,296.50/x
  3. Step 3: Cross multiply
    407,409.47x = 562,294.65 × 235,296.50
  4. Step 4: Simplify right side
    407,409.47x = 132,305,964,519.46
  5. Step 5: Solve for x
    x = 132,305,964,519.46/407,409.47
  6. Step 6: Final answer
    x = 324,749.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.