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Finding the Fourth Proportional to 302,838.28, 454,339.34 and 115,855.88

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Solution

The fourth proportional to 302,838.28, 454,339.34 and 115,855.88 is: 173,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,838.28 : 454,339.34 = 115,855.88 : x
  2. Step 2: Convert to fraction form
    302,838.28/454,339.34 = 115,855.88/x
  3. Step 3: Cross multiply
    302,838.28x = 454,339.34 × 115,855.88
  4. Step 4: Simplify right side
    302,838.28x = 52,637,884,054.32
  5. Step 5: Solve for x
    x = 52,637,884,054.32/302,838.28
  6. Step 6: Final answer
    x = 173,815.16

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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.