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Finding the Fourth Proportional to 287,578.40, 431,367.60 and 161,607.20

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Solution

The fourth proportional to 287,578.40, 431,367.60 and 161,607.20 is: 242,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,578.40 : 431,367.60 = 161,607.20 : x
  2. Step 2: Convert to fraction form
    287,578.40/431,367.60 = 161,607.20/x
  3. Step 3: Cross multiply
    287,578.40x = 431,367.60 × 161,607.20
  4. Step 4: Simplify right side
    287,578.40x = 69,712,110,006.72
  5. Step 5: Solve for x
    x = 69,712,110,006.72/287,578.40
  6. Step 6: Final answer
    x = 242,410.80

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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.