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Finding the Fourth Proportional to 410,362.44, 615,122.78 and 157,574.87

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Solution

The fourth proportional to 410,362.44, 615,122.78 and 157,574.87 is: 236,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,362.44 : 615,122.78 = 157,574.87 : x
  2. Step 2: Convert to fraction form
    410,362.44/615,122.78 = 157,574.87/x
  3. Step 3: Cross multiply
    410,362.44x = 615,122.78 × 157,574.87
  4. Step 4: Simplify right side
    410,362.44x = 96,927,890,535.76
  5. Step 5: Solve for x
    x = 96,927,890,535.76/410,362.44
  6. Step 6: Final answer
    x = 236,200.69

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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.