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Finding the Fourth Proportional to 368,309.60, 508,262.14 and 207,164.76

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Solution

The fourth proportional to 368,309.60, 508,262.14 and 207,164.76 is: 285,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,309.60 : 508,262.14 = 207,164.76 : x
  2. Step 2: Convert to fraction form
    368,309.60/508,262.14 = 207,164.76/x
  3. Step 3: Cross multiply
    368,309.60x = 508,262.14 × 207,164.76
  4. Step 4: Simplify right side
    368,309.60x = 105,294,004,250.19
  5. Step 5: Solve for x
    x = 105,294,004,250.19/368,309.60
  6. Step 6: Final answer
    x = 285,884.50

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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.