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Finding the Fourth Proportional to 306,706.80, 460,256.88 and 148,849.20

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Solution

The fourth proportional to 306,706.80, 460,256.88 and 148,849.20 is: 223,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,706.80 : 460,256.88 = 148,849.20 : x
  2. Step 2: Convert to fraction form
    306,706.80/460,256.88 = 148,849.20/x
  3. Step 3: Cross multiply
    306,706.80x = 460,256.88 × 148,849.20
  4. Step 4: Simplify right side
    306,706.80x = 68,508,868,382.50
  5. Step 5: Solve for x
    x = 68,508,868,382.50/306,706.80
  6. Step 6: Final answer
    x = 223,369.25

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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.