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Finding the Fourth Proportional to 278,533.34, 417,955.24 and 150,447.03

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Solution

The fourth proportional to 278,533.34, 417,955.24 and 150,447.03 is: 225,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,533.34 : 417,955.24 = 150,447.03 : x
  2. Step 2: Convert to fraction form
    278,533.34/417,955.24 = 150,447.03/x
  3. Step 3: Cross multiply
    278,533.34x = 417,955.24 × 150,447.03
  4. Step 4: Simplify right side
    278,533.34x = 62,880,124,154.82
  5. Step 5: Solve for x
    x = 62,880,124,154.82/278,533.34
  6. Step 6: Final answer
    x = 225,754.39

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1.5x scale

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.