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Finding the Fourth Proportional to 314,199, 433,623.78 and 180,063

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Solution

The fourth proportional to 314,199, 433,623.78 and 180,063 is: 248,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,199 : 433,623.78 = 180,063 : x
  2. Step 2: Convert to fraction form
    314,199/433,623.78 = 180,063/x
  3. Step 3: Cross multiply
    314,199x = 433,623.78 × 180,063
  4. Step 4: Simplify right side
    314,199x = 78,079,598,698.14
  5. Step 5: Solve for x
    x = 78,079,598,698.14/314,199
  6. Step 6: Final answer
    x = 248,503.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.