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Finding the Fourth Proportional to 458,459.10, 687,697.14 and 158,949.44

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Solution

The fourth proportional to 458,459.10, 687,697.14 and 158,949.44 is: 238,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,459.10 : 687,697.14 = 158,949.44 : x
  2. Step 2: Convert to fraction form
    458,459.10/687,697.14 = 158,949.44/x
  3. Step 3: Cross multiply
    458,459.10x = 687,697.14 × 158,949.44
  4. Step 4: Simplify right side
    458,459.10x = 109,309,075,292.60
  5. Step 5: Solve for x
    x = 109,309,075,292.60/458,459.10
  6. Step 6: Final answer
    x = 238,427.10

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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.