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Finding the Fourth Proportional to 384,329.80, 576,494.70 and 258,358.60

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Solution

The fourth proportional to 384,329.80, 576,494.70 and 258,358.60 is: 387,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,329.80 : 576,494.70 = 258,358.60 : x
  2. Step 2: Convert to fraction form
    384,329.80/576,494.70 = 258,358.60/x
  3. Step 3: Cross multiply
    384,329.80x = 576,494.70 × 258,358.60
  4. Step 4: Simplify right side
    384,329.80x = 148,942,363,599.42
  5. Step 5: Solve for x
    x = 148,942,363,599.42/384,329.80
  6. Step 6: Final answer
    x = 387,537.90

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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.