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Finding the Fourth Proportional to 456,746.45, 685,070.45 and 119,820.88

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Solution

The fourth proportional to 456,746.45, 685,070.45 and 119,820.88 is: 179,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,746.45 : 685,070.45 = 119,820.88 : x
  2. Step 2: Convert to fraction form
    456,746.45/685,070.45 = 119,820.88/x
  3. Step 3: Cross multiply
    456,746.45x = 685,070.45 × 119,820.88
  4. Step 4: Simplify right side
    456,746.45x = 82,085,744,181.00
  5. Step 5: Solve for x
    x = 82,085,744,181.00/456,746.45
  6. Step 6: Final answer
    x = 179,718.41

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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.