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Finding the Fourth Proportional to 456,697.32, 685,048.80 and 119,734.94

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Solution

The fourth proportional to 456,697.32, 685,048.80 and 119,734.94 is: 179,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,697.32 : 685,048.80 = 119,734.94 : x
  2. Step 2: Convert to fraction form
    456,697.32/685,048.80 = 119,734.94/x
  3. Step 3: Cross multiply
    456,697.32x = 685,048.80 × 119,734.94
  4. Step 4: Simplify right side
    456,697.32x = 82,024,276,965.07
  5. Step 5: Solve for x
    x = 82,024,276,965.07/456,697.32
  6. Step 6: Final answer
    x = 179,603.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.