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Finding the Fourth Proportional to 302,851.60, 454,277.40 and 208,373.20

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Solution

The fourth proportional to 302,851.60, 454,277.40 and 208,373.20 is: 312,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,851.60 : 454,277.40 = 208,373.20 : x
  2. Step 2: Convert to fraction form
    302,851.60/454,277.40 = 208,373.20/x
  3. Step 3: Cross multiply
    302,851.60x = 454,277.40 × 208,373.20
  4. Step 4: Simplify right side
    302,851.60x = 94,659,235,525.68
  5. Step 5: Solve for x
    x = 94,659,235,525.68/302,851.60
  6. Step 6: Final answer
    x = 312,559.80

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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.