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Finding the Fourth Proportional to 470,907.56, 706,361.19 and 138,483.56

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Solution

The fourth proportional to 470,907.56, 706,361.19 and 138,483.56 is: 207,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,907.56 : 706,361.19 = 138,483.56 : x
  2. Step 2: Convert to fraction form
    470,907.56/706,361.19 = 138,483.56/x
  3. Step 3: Cross multiply
    470,907.56x = 706,361.19 × 138,483.56
  4. Step 4: Simplify right side
    470,907.56x = 97,819,408,705.23
  5. Step 5: Solve for x
    x = 97,819,408,705.23/470,907.56
  6. Step 6: Final answer
    x = 207,725.29

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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.