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Finding the Fourth Proportional to 384,085.95, 576,203.08 and 147,410.18

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Solution

The fourth proportional to 384,085.95, 576,203.08 and 147,410.18 is: 221,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,085.95 : 576,203.08 = 147,410.18 : x
  2. Step 2: Convert to fraction form
    384,085.95/576,203.08 = 147,410.18/x
  3. Step 3: Cross multiply
    384,085.95x = 576,203.08 × 147,410.18
  4. Step 4: Simplify right side
    384,085.95x = 84,938,199,134.26
  5. Step 5: Solve for x
    x = 84,938,199,134.26/384,085.95
  6. Step 6: Final answer
    x = 221,143.73

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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.