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Finding the Fourth Proportional to 341,172, 470,817.36 and 190,265.76

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Solution

The fourth proportional to 341,172, 470,817.36 and 190,265.76 is: 262,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,172 : 470,817.36 = 190,265.76 : x
  2. Step 2: Convert to fraction form
    341,172/470,817.36 = 190,265.76/x
  3. Step 3: Cross multiply
    341,172x = 470,817.36 × 190,265.76
  4. Step 4: Simplify right side
    341,172x = 89,580,422,821.59
  5. Step 5: Solve for x
    x = 89,580,422,821.59/341,172
  6. Step 6: Final answer
    x = 262,566.75

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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.