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Finding the Fourth Proportional to 384,294.80, 576,442.20 and 360,966.80

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Solution

The fourth proportional to 384,294.80, 576,442.20 and 360,966.80 is: 541,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,294.80 : 576,442.20 = 360,966.80 : x
  2. Step 2: Convert to fraction form
    384,294.80/576,442.20 = 360,966.80/x
  3. Step 3: Cross multiply
    384,294.80x = 576,442.20 × 360,966.80
  4. Step 4: Simplify right side
    384,294.80x = 208,076,496,318.96
  5. Step 5: Solve for x
    x = 208,076,496,318.96/384,294.80
  6. Step 6: Final answer
    x = 541,450.20

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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.