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Finding the Fourth Proportional to 410,021.76, 615,262.29 and 173,541.45

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Solution

The fourth proportional to 410,021.76, 615,262.29 and 173,541.45 is: 260,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,021.76 : 615,262.29 = 173,541.45 : x
  2. Step 2: Convert to fraction form
    410,021.76/615,262.29 = 173,541.45/x
  3. Step 3: Cross multiply
    410,021.76x = 615,262.29 × 173,541.45
  4. Step 4: Simplify right side
    410,021.76x = 106,773,509,936.92
  5. Step 5: Solve for x
    x = 106,773,509,936.92/410,021.76
  6. Step 6: Final answer
    x = 260,409.37

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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.