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Finding the Fourth Proportional to 1,533,897, 2,301,183 and 454,325.76

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Solution

The fourth proportional to 1,533,897, 2,301,183 and 454,325.76 is: 681,588.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,897 : 2,301,183 = 454,325.76 : x
  2. Step 2: Convert to fraction form
    1,533,897/2,301,183 = 454,325.76/x
  3. Step 3: Cross multiply
    1,533,897x = 2,301,183 × 454,325.76
  4. Step 4: Simplify right side
    1,533,897x = 1,045,486,715,374.08
  5. Step 5: Solve for x
    x = 1,045,486,715,374.08/1,533,897
  6. Step 6: Final answer
    x = 681,588.60

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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.