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Finding the Fourth Proportional to 285,206.40, 393,461.28 and 171,966.24

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Solution

The fourth proportional to 285,206.40, 393,461.28 and 171,966.24 is: 237,238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,206.40 : 393,461.28 = 171,966.24 : x
  2. Step 2: Convert to fraction form
    285,206.40/393,461.28 = 171,966.24/x
  3. Step 3: Cross multiply
    285,206.40x = 393,461.28 × 171,966.24
  4. Step 4: Simplify right side
    285,206.40x = 67,662,056,907.19
  5. Step 5: Solve for x
    x = 67,662,056,907.19/285,206.40
  6. Step 6: Final answer
    x = 237,238.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.