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Finding the Fourth Proportional to 314,821.80, 472,232.70 and 302,574.60

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Solution

The fourth proportional to 314,821.80, 472,232.70 and 302,574.60 is: 453,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,821.80 : 472,232.70 = 302,574.60 : x
  2. Step 2: Convert to fraction form
    314,821.80/472,232.70 = 302,574.60/x
  3. Step 3: Cross multiply
    314,821.80x = 472,232.70 × 302,574.60
  4. Step 4: Simplify right side
    314,821.80x = 142,885,620,309.42
  5. Step 5: Solve for x
    x = 142,885,620,309.42/314,821.80
  6. Step 6: Final answer
    x = 453,861.90

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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.