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Finding the Fourth Proportional to 364,568.80, 546,780.30 and 175,028.80

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Solution

The fourth proportional to 364,568.80, 546,780.30 and 175,028.80 is: 262,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,568.80 : 546,780.30 = 175,028.80 : x
  2. Step 2: Convert to fraction form
    364,568.80/546,780.30 = 175,028.80/x
  3. Step 3: Cross multiply
    364,568.80x = 546,780.30 × 175,028.80
  4. Step 4: Simplify right side
    364,568.80x = 95,702,299,772.64
  5. Step 5: Solve for x
    x = 95,702,299,772.64/364,568.80
  6. Step 6: Final answer
    x = 262,508.20

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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.