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Finding the Fourth Proportional to 346,051.28, 477,541.32 and 195,162.32

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Solution

The fourth proportional to 346,051.28, 477,541.32 and 195,162.32 is: 269,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,051.28 : 477,541.32 = 195,162.32 : x
  2. Step 2: Convert to fraction form
    346,051.28/477,541.32 = 195,162.32/x
  3. Step 3: Cross multiply
    346,051.28x = 477,541.32 × 195,162.32
  4. Step 4: Simplify right side
    346,051.28x = 93,198,071,907.06
  5. Step 5: Solve for x
    x = 93,198,071,907.06/346,051.28
  6. Step 6: Final answer
    x = 269,318.67

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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.