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Finding the Fourth Proportional to 410,085.45, 615,100.84 and 197,006.04

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Solution

The fourth proportional to 410,085.45, 615,100.84 and 197,006.04 is: 295,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,085.45 : 615,100.84 = 197,006.04 : x
  2. Step 2: Convert to fraction form
    410,085.45/615,100.84 = 197,006.04/x
  3. Step 3: Cross multiply
    410,085.45x = 615,100.84 × 197,006.04
  4. Step 4: Simplify right side
    410,085.45x = 121,178,580,196.56
  5. Step 5: Solve for x
    x = 121,178,580,196.56/410,085.45
  6. Step 6: Final answer
    x = 295,495.93

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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.