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Finding the Fourth Proportional to 302,804.76, 454,295.94 and 89,578.32

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Solution

The fourth proportional to 302,804.76, 454,295.94 and 89,578.32 is: 134,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,804.76 : 454,295.94 = 89,578.32 : x
  2. Step 2: Convert to fraction form
    302,804.76/454,295.94 = 89,578.32/x
  3. Step 3: Cross multiply
    302,804.76x = 454,295.94 × 89,578.32
  4. Step 4: Simplify right side
    302,804.76x = 40,695,067,088.02
  5. Step 5: Solve for x
    x = 40,695,067,088.02/302,804.76
  6. Step 6: Final answer
    x = 134,393.75

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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.