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Finding the Fourth Proportional to 384,021.40, 576,032.10 and 243,938.20

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Solution

The fourth proportional to 384,021.40, 576,032.10 and 243,938.20 is: 365,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,021.40 : 576,032.10 = 243,938.20 : x
  2. Step 2: Convert to fraction form
    384,021.40/576,032.10 = 243,938.20/x
  3. Step 3: Cross multiply
    384,021.40x = 576,032.10 × 243,938.20
  4. Step 4: Simplify right side
    384,021.40x = 140,516,233,616.22
  5. Step 5: Solve for x
    x = 140,516,233,616.22/384,021.40
  6. Step 6: Final answer
    x = 365,907.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.