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Finding the Fourth Proportional to 346,040, 477,564.40 and 195,166.16

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Solution

The fourth proportional to 346,040, 477,564.40 and 195,166.16 is: 269,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,040 : 477,564.40 = 195,166.16 : x
  2. Step 2: Convert to fraction form
    346,040/477,564.40 = 195,166.16/x
  3. Step 3: Cross multiply
    346,040x = 477,564.40 × 195,166.16
  4. Step 4: Simplify right side
    346,040x = 93,204,410,100.70
  5. Step 5: Solve for x
    x = 93,204,410,100.70/346,040
  6. Step 6: Final answer
    x = 269,345.77

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