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Finding the Fourth Proportional to 317,970.87, 438,824.25 and 182,047.59

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Solution

The fourth proportional to 317,970.87, 438,824.25 and 182,047.59 is: 251,239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,970.87 : 438,824.25 = 182,047.59 : x
  2. Step 2: Convert to fraction form
    317,970.87/438,824.25 = 182,047.59/x
  3. Step 3: Cross multiply
    317,970.87x = 438,824.25 × 182,047.59
  4. Step 4: Simplify right side
    317,970.87x = 79,886,897,146.06
  5. Step 5: Solve for x
    x = 79,886,897,146.06/317,970.87
  6. Step 6: Final answer
    x = 251,239.67

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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.