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Finding the Fourth Proportional to 314,153.40, 471,230.10 and 194,579.20

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Solution

The fourth proportional to 314,153.40, 471,230.10 and 194,579.20 is: 291,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,153.40 : 471,230.10 = 194,579.20 : x
  2. Step 2: Convert to fraction form
    314,153.40/471,230.10 = 194,579.20/x
  3. Step 3: Cross multiply
    314,153.40x = 471,230.10 × 194,579.20
  4. Step 4: Simplify right side
    314,153.40x = 91,691,575,873.92
  5. Step 5: Solve for x
    x = 91,691,575,873.92/314,153.40
  6. Step 6: Final answer
    x = 291,868.80

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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.