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Finding the Fourth Proportional to 435,676.47, 652,568.30 and 210,564.82

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Solution

The fourth proportional to 435,676.47, 652,568.30 and 210,564.82 is: 315,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,676.47 : 652,568.30 = 210,564.82 : x
  2. Step 2: Convert to fraction form
    435,676.47/652,568.30 = 210,564.82/x
  3. Step 3: Cross multiply
    435,676.47x = 652,568.30 × 210,564.82
  4. Step 4: Simplify right side
    435,676.47x = 137,407,923,509.01
  5. Step 5: Solve for x
    x = 137,407,923,509.01/435,676.47
  6. Step 6: Final answer
    x = 315,389.82

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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.