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Finding the Fourth Proportional to 388,832.45, 583,478.30 and 164,178.33

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Solution

The fourth proportional to 388,832.45, 583,478.30 and 164,178.33 is: 246,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,832.45 : 583,478.30 = 164,178.33 : x
  2. Step 2: Convert to fraction form
    388,832.45/583,478.30 = 164,178.33/x
  3. Step 3: Cross multiply
    388,832.45x = 583,478.30 × 164,178.33
  4. Step 4: Simplify right side
    388,832.45x = 95,794,492,064.35
  5. Step 5: Solve for x
    x = 95,794,492,064.35/388,832.45
  6. Step 6: Final answer
    x = 246,364.45

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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.