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Finding the Fourth Proportional to 384,005.80, 575,522.70 and 147,032.20

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Solution

The fourth proportional to 384,005.80, 575,522.70 and 147,032.20 is: 220,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,005.80 : 575,522.70 = 147,032.20 : x
  2. Step 2: Convert to fraction form
    384,005.80/575,522.70 = 147,032.20/x
  3. Step 3: Cross multiply
    384,005.80x = 575,522.70 × 147,032.20
  4. Step 4: Simplify right side
    384,005.80x = 84,620,368,730.94
  5. Step 5: Solve for x
    x = 84,620,368,730.94/384,005.80
  6. Step 6: Final answer
    x = 220,362.22

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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.