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Finding the Fourth Proportional to 596,722.40, 895,083.60 and 419,429.60

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Solution

The fourth proportional to 596,722.40, 895,083.60 and 419,429.60 is: 629,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,722.40 : 895,083.60 = 419,429.60 : x
  2. Step 2: Convert to fraction form
    596,722.40/895,083.60 = 419,429.60/x
  3. Step 3: Cross multiply
    596,722.40x = 895,083.60 × 419,429.60
  4. Step 4: Simplify right side
    596,722.40x = 375,424,556,314.56
  5. Step 5: Solve for x
    x = 375,424,556,314.56/596,722.40
  6. Step 6: Final answer
    x = 629,144.40

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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.