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Finding the Fourth Proportional to 509,924.10, 764,230.05 and 310,032.30

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Solution

The fourth proportional to 509,924.10, 764,230.05 and 310,032.30 is: 464,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,924.10 : 764,230.05 = 310,032.30 : x
  2. Step 2: Convert to fraction form
    509,924.10/764,230.05 = 310,032.30/x
  3. Step 3: Cross multiply
    509,924.10x = 764,230.05 × 310,032.30
  4. Step 4: Simplify right side
    509,924.10x = 236,936,000,130.62
  5. Step 5: Solve for x
    x = 236,936,000,130.62/509,924.10
  6. Step 6: Final answer
    x = 464,649.54

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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.