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Finding the Fourth Proportional to 287,915.60, 397,322.42 and 158,862.11

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Solution

The fourth proportional to 287,915.60, 397,322.42 and 158,862.11 is: 219,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,915.60 : 397,322.42 = 158,862.11 : x
  2. Step 2: Convert to fraction form
    287,915.60/397,322.42 = 158,862.11/x
  3. Step 3: Cross multiply
    287,915.60x = 397,322.42 × 158,862.11
  4. Step 4: Simplify right side
    287,915.60x = 63,119,475,210.58
  5. Step 5: Solve for x
    x = 63,119,475,210.58/287,915.60
  6. Step 6: Final answer
    x = 219,229.09

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Why These Related Problems?

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