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Finding the Fourth Proportional to 317,246, 475,846.74 and 148,803.26

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Solution

The fourth proportional to 317,246, 475,846.74 and 148,803.26 is: 223,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,246 : 475,846.74 = 148,803.26 : x
  2. Step 2: Convert to fraction form
    317,246/475,846.74 = 148,803.26/x
  3. Step 3: Cross multiply
    317,246x = 475,846.74 × 148,803.26
  4. Step 4: Simplify right side
    317,246x = 70,807,546,172.37
  5. Step 5: Solve for x
    x = 70,807,546,172.37/317,246
  6. Step 6: Final answer
    x = 223,194.45

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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.