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Finding the Fourth Proportional to 287,725.32, 397,056.60 and 160,397.64

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Solution

The fourth proportional to 287,725.32, 397,056.60 and 160,397.64 is: 221,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,725.32 : 397,056.60 = 160,397.64 : x
  2. Step 2: Convert to fraction form
    287,725.32/397,056.60 = 160,397.64/x
  3. Step 3: Cross multiply
    287,725.32x = 397,056.60 × 160,397.64
  4. Step 4: Simplify right side
    287,725.32x = 63,686,941,586.42
  5. Step 5: Solve for x
    x = 63,686,941,586.42/287,725.32
  6. Step 6: Final answer
    x = 221,346.32

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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.