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Finding the Fourth Proportional to 340,716.56, 470,244.84 and 189,862.16

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Solution

The fourth proportional to 340,716.56, 470,244.84 and 189,862.16 is: 262,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,716.56 : 470,244.84 = 189,862.16 : x
  2. Step 2: Convert to fraction form
    340,716.56/470,244.84 = 189,862.16/x
  3. Step 3: Cross multiply
    340,716.56x = 470,244.84 × 189,862.16
  4. Step 4: Simplify right side
    340,716.56x = 89,281,701,051.25
  5. Step 5: Solve for x
    x = 89,281,701,051.25/340,716.56
  6. Step 6: Final answer
    x = 262,040.98

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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.