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Finding the Fourth Proportional to 410,844, 616,317.84 and 141,024.72

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Solution

The fourth proportional to 410,844, 616,317.84 and 141,024.72 is: 211,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,844 : 616,317.84 = 141,024.72 : x
  2. Step 2: Convert to fraction form
    410,844/616,317.84 = 141,024.72/x
  3. Step 3: Cross multiply
    410,844x = 616,317.84 × 141,024.72
  4. Step 4: Simplify right side
    410,844x = 86,916,050,817.00
  5. Step 5: Solve for x
    x = 86,916,050,817.00/410,844
  6. Step 6: Final answer
    x = 211,554.87

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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.