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Finding the Fourth Proportional to 412,822.32, 619,509.64 and 150,166.32

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Solution

The fourth proportional to 412,822.32, 619,509.64 and 150,166.32 is: 225,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,822.32 : 619,509.64 = 150,166.32 : x
  2. Step 2: Convert to fraction form
    412,822.32/619,509.64 = 150,166.32/x
  3. Step 3: Cross multiply
    412,822.32x = 619,509.64 × 150,166.32
  4. Step 4: Simplify right side
    412,822.32x = 93,029,482,843.32
  5. Step 5: Solve for x
    x = 93,029,482,843.32/412,822.32
  6. Step 6: Final answer
    x = 225,349.93

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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.