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Finding the Fourth Proportional to 456,673.40, 685,010.10 and 207,355.40

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Solution

The fourth proportional to 456,673.40, 685,010.10 and 207,355.40 is: 311,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,673.40 : 685,010.10 = 207,355.40 : x
  2. Step 2: Convert to fraction form
    456,673.40/685,010.10 = 207,355.40/x
  3. Step 3: Cross multiply
    456,673.40x = 685,010.10 × 207,355.40
  4. Step 4: Simplify right side
    456,673.40x = 142,040,543,289.54
  5. Step 5: Solve for x
    x = 142,040,543,289.54/456,673.40
  6. Step 6: Final answer
    x = 311,033.10

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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.