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Finding the Fourth Proportional to 419,210.40, 628,758.90 and 166,676.70

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Solution

The fourth proportional to 419,210.40, 628,758.90 and 166,676.70 is: 249,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,210.40 : 628,758.90 = 166,676.70 : x
  2. Step 2: Convert to fraction form
    419,210.40/628,758.90 = 166,676.70/x
  3. Step 3: Cross multiply
    419,210.40x = 628,758.90 × 166,676.70
  4. Step 4: Simplify right side
    419,210.40x = 104,799,458,547.63
  5. Step 5: Solve for x
    x = 104,799,458,547.63/419,210.40
  6. Step 6: Final answer
    x = 249,992.51

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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.