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Finding the Fourth Proportional to 435,498.56, 652,107.36 and 285,266.24

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Solution

The fourth proportional to 435,498.56, 652,107.36 and 285,266.24 is: 427,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,498.56 : 652,107.36 = 285,266.24 : x
  2. Step 2: Convert to fraction form
    435,498.56/652,107.36 = 285,266.24/x
  3. Step 3: Cross multiply
    435,498.56x = 652,107.36 × 285,266.24
  4. Step 4: Simplify right side
    435,498.56x = 186,024,214,663.53
  5. Step 5: Solve for x
    x = 186,024,214,663.53/435,498.56
  6. Step 6: Final answer
    x = 427,152.31

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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.