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Finding the Fourth Proportional to 306,829.65, 460,121.45 and 180,503.06

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Solution

The fourth proportional to 306,829.65, 460,121.45 and 180,503.06 is: 270,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,829.65 : 460,121.45 = 180,503.06 : x
  2. Step 2: Convert to fraction form
    306,829.65/460,121.45 = 180,503.06/x
  3. Step 3: Cross multiply
    306,829.65x = 460,121.45 × 180,503.06
  4. Step 4: Simplify right side
    306,829.65x = 83,053,328,549.10
  5. Step 5: Solve for x
    x = 83,053,328,549.10/306,829.65
  6. Step 6: Final answer
    x = 270,682.22

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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.