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Finding the Fourth Proportional to 384,032.80, 575,563.20 and 147,059.20

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Solution

The fourth proportional to 384,032.80, 575,563.20 and 147,059.20 is: 220,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,032.80 : 575,563.20 = 147,059.20 : x
  2. Step 2: Convert to fraction form
    384,032.80/575,563.20 = 147,059.20/x
  3. Step 3: Cross multiply
    384,032.80x = 575,563.20 × 147,059.20
  4. Step 4: Simplify right side
    384,032.80x = 84,641,863,741.44
  5. Step 5: Solve for x
    x = 84,641,863,741.44/384,032.80
  6. Step 6: Final answer
    x = 220,402.69

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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.