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Finding the Fourth Proportional to 412,808.32, 619,488.64 and 150,152.32

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Solution

The fourth proportional to 412,808.32, 619,488.64 and 150,152.32 is: 225,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,808.32 : 619,488.64 = 150,152.32 : x
  2. Step 2: Convert to fraction form
    412,808.32/619,488.64 = 150,152.32/x
  3. Step 3: Cross multiply
    412,808.32x = 619,488.64 × 150,152.32
  4. Step 4: Simplify right side
    412,808.32x = 93,017,656,509.64
  5. Step 5: Solve for x
    x = 93,017,656,509.64/412,808.32
  6. Step 6: Final answer
    x = 225,328.93

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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.