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Finding the Fourth Proportional to 314,892.32, 470,251.24 and 276,738.08

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Solution

The fourth proportional to 314,892.32, 470,251.24 and 276,738.08 is: 413,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,892.32 : 470,251.24 = 276,738.08 : x
  2. Step 2: Convert to fraction form
    314,892.32/470,251.24 = 276,738.08/x
  3. Step 3: Cross multiply
    314,892.32x = 470,251.24 × 276,738.08
  4. Step 4: Simplify right side
    314,892.32x = 130,136,425,275.22
  5. Step 5: Solve for x
    x = 130,136,425,275.22/314,892.32
  6. Step 6: Final answer
    x = 413,272.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.