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Finding the Fourth Proportional to 450,659.64, 675,746.82 and 180,652.20

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Solution

The fourth proportional to 450,659.64, 675,746.82 and 180,652.20 is: 270,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,659.64 : 675,746.82 = 180,652.20 : x
  2. Step 2: Convert to fraction form
    450,659.64/675,746.82 = 180,652.20/x
  3. Step 3: Cross multiply
    450,659.64x = 675,746.82 × 180,652.20
  4. Step 4: Simplify right side
    450,659.64x = 122,075,149,676.00
  5. Step 5: Solve for x
    x = 122,075,149,676.00/450,659.64
  6. Step 6: Final answer
    x = 270,881.03

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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.