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Finding the Fourth Proportional to 384,020.10, 576,030.15 and 367,431.30

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Solution

The fourth proportional to 384,020.10, 576,030.15 and 367,431.30 is: 551,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,020.10 : 576,030.15 = 367,431.30 : x
  2. Step 2: Convert to fraction form
    384,020.10/576,030.15 = 367,431.30/x
  3. Step 3: Cross multiply
    384,020.10x = 576,030.15 × 367,431.30
  4. Step 4: Simplify right side
    384,020.10x = 211,651,506,853.70
  5. Step 5: Solve for x
    x = 211,651,506,853.70/384,020.10
  6. Step 6: Final answer
    x = 551,146.95

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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.