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Finding the Fourth Proportional to 450,270.09, 675,308.01 and 142,546.38

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Solution

The fourth proportional to 450,270.09, 675,308.01 and 142,546.38 is: 213,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,270.09 : 675,308.01 = 142,546.38 : x
  2. Step 2: Convert to fraction form
    450,270.09/675,308.01 = 142,546.38/x
  3. Step 3: Cross multiply
    450,270.09x = 675,308.01 × 142,546.38
  4. Step 4: Simplify right side
    450,270.09x = 96,262,712,210.50
  5. Step 5: Solve for x
    x = 96,262,712,210.50/450,270.09
  6. Step 6: Final answer
    x = 213,788.82

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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.