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Finding the Fourth Proportional to 456,851.60, 685,277.40 and 119,891.60

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Solution

The fourth proportional to 456,851.60, 685,277.40 and 119,891.60 is: 179,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,851.60 : 685,277.40 = 119,891.60 : x
  2. Step 2: Convert to fraction form
    456,851.60/685,277.40 = 119,891.60/x
  3. Step 3: Cross multiply
    456,851.60x = 685,277.40 × 119,891.60
  4. Step 4: Simplify right side
    456,851.60x = 82,159,003,929.84
  5. Step 5: Solve for x
    x = 82,159,003,929.84/456,851.60
  6. Step 6: Final answer
    x = 179,837.40

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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.