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Finding the Fourth Proportional to 306,719.24, 460,172.74 and 157,065.48

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Solution

The fourth proportional to 306,719.24, 460,172.74 and 157,065.48 is: 235,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,719.24 : 460,172.74 = 157,065.48 : x
  2. Step 2: Convert to fraction form
    306,719.24/460,172.74 = 157,065.48/x
  3. Step 3: Cross multiply
    306,719.24x = 460,172.74 × 157,065.48
  4. Step 4: Simplify right side
    306,719.24x = 72,277,252,291.02
  5. Step 5: Solve for x
    x = 72,277,252,291.02/306,719.24
  6. Step 6: Final answer
    x = 235,646.29

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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.