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Finding the Fourth Proportional to 306,965.34, 460,426.62 and 114,803.16

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Solution

The fourth proportional to 306,965.34, 460,426.62 and 114,803.16 is: 172,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,965.34 : 460,426.62 = 114,803.16 : x
  2. Step 2: Convert to fraction form
    306,965.34/460,426.62 = 114,803.16/x
  3. Step 3: Cross multiply
    306,965.34x = 460,426.62 × 114,803.16
  4. Step 4: Simplify right side
    306,965.34x = 52,858,430,924.12
  5. Step 5: Solve for x
    x = 52,858,430,924.12/306,965.34
  6. Step 6: Final answer
    x = 172,196.74

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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.