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Finding the Fourth Proportional to 389,003.16, 583,271.46 and 178,377.24

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Solution

The fourth proportional to 389,003.16, 583,271.46 and 178,377.24 is: 267,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,003.16 : 583,271.46 = 178,377.24 : x
  2. Step 2: Convert to fraction form
    389,003.16/583,271.46 = 178,377.24/x
  3. Step 3: Cross multiply
    389,003.16x = 583,271.46 × 178,377.24
  4. Step 4: Simplify right side
    389,003.16x = 104,042,353,205.57
  5. Step 5: Solve for x
    x = 104,042,353,205.57/389,003.16
  6. Step 6: Final answer
    x = 267,458.89

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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.