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Finding the Fourth Proportional to 509,459.60, 764,165.10 and 172,467.20

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Solution

The fourth proportional to 509,459.60, 764,165.10 and 172,467.20 is: 258,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,459.60 : 764,165.10 = 172,467.20 : x
  2. Step 2: Convert to fraction form
    509,459.60/764,165.10 = 172,467.20/x
  3. Step 3: Cross multiply
    509,459.60x = 764,165.10 × 172,467.20
  4. Step 4: Simplify right side
    509,459.60x = 131,793,415,134.72
  5. Step 5: Solve for x
    x = 131,793,415,134.72/509,459.60
  6. Step 6: Final answer
    x = 258,692.57

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1.5x scale

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.