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Finding the Fourth Proportional to 384,030.80, 576,483.60 and 226,348.10

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Solution

The fourth proportional to 384,030.80, 576,483.60 and 226,348.10 is: 339,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,030.80 : 576,483.60 = 226,348.10 : x
  2. Step 2: Convert to fraction form
    384,030.80/576,483.60 = 226,348.10/x
  3. Step 3: Cross multiply
    384,030.80x = 576,483.60 × 226,348.10
  4. Step 4: Simplify right side
    384,030.80x = 130,485,967,541.16
  5. Step 5: Solve for x
    x = 130,485,967,541.16/384,030.80
  6. Step 6: Final answer
    x = 339,779.95

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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.