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Finding the Fourth Proportional to 302,618.56, 454,208.16 and 152,964.64

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Solution

The fourth proportional to 302,618.56, 454,208.16 and 152,964.64 is: 229,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,618.56 : 454,208.16 = 152,964.64 : x
  2. Step 2: Convert to fraction form
    302,618.56/454,208.16 = 152,964.64/x
  3. Step 3: Cross multiply
    302,618.56x = 454,208.16 × 152,964.64
  4. Step 4: Simplify right side
    302,618.56x = 69,477,787,679.46
  5. Step 5: Solve for x
    x = 69,477,787,679.46/302,618.56
  6. Step 6: Final answer
    x = 229,588.65

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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.