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Finding the Fourth Proportional to 651,643.80, 977,538.60 and 202,361.10

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Solution

The fourth proportional to 651,643.80, 977,538.60 and 202,361.10 is: 303,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,643.80 : 977,538.60 = 202,361.10 : x
  2. Step 2: Convert to fraction form
    651,643.80/977,538.60 = 202,361.10/x
  3. Step 3: Cross multiply
    651,643.80x = 977,538.60 × 202,361.10
  4. Step 4: Simplify right side
    651,643.80x = 197,815,786,388.46
  5. Step 5: Solve for x
    x = 197,815,786,388.46/651,643.80
  6. Step 6: Final answer
    x = 303,564.29

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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.