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Finding the Fourth Proportional to 435,461.10, 653,405.64 and 195,744.37

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Solution

The fourth proportional to 435,461.10, 653,405.64 and 195,744.37 is: 293,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,461.10 : 653,405.64 = 195,744.37 : x
  2. Step 2: Convert to fraction form
    435,461.10/653,405.64 = 195,744.37/x
  3. Step 3: Cross multiply
    435,461.10x = 653,405.64 × 195,744.37
  4. Step 4: Simplify right side
    435,461.10x = 127,900,475,356.25
  5. Step 5: Solve for x
    x = 127,900,475,356.25/435,461.10
  6. Step 6: Final answer
    x = 293,712.75

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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.