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Finding the Fourth Proportional to 535,546.64, 803,322.72 and 180,563.76

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Solution

The fourth proportional to 535,546.64, 803,322.72 and 180,563.76 is: 270,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,546.64 : 803,322.72 = 180,563.76 : x
  2. Step 2: Convert to fraction form
    535,546.64/803,322.72 = 180,563.76/x
  3. Step 3: Cross multiply
    535,546.64x = 803,322.72 × 180,563.76
  4. Step 4: Simplify right side
    535,546.64x = 145,050,970,816.63
  5. Step 5: Solve for x
    x = 145,050,970,816.63/535,546.64
  6. Step 6: Final answer
    x = 270,846.57

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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.