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Finding the Fourth Proportional to 287,657, 396,968.48 and 160,340.64

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Solution

The fourth proportional to 287,657, 396,968.48 and 160,340.64 is: 221,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,657 : 396,968.48 = 160,340.64 : x
  2. Step 2: Convert to fraction form
    287,657/396,968.48 = 160,340.64/x
  3. Step 3: Cross multiply
    287,657x = 396,968.48 × 160,340.64
  4. Step 4: Simplify right side
    287,657x = 63,650,180,143.03
  5. Step 5: Solve for x
    x = 63,650,180,143.03/287,657
  6. Step 6: Final answer
    x = 221,271.10

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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.