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Finding the Fourth Proportional to 302,801.40, 454,202.10 and 282,972.60

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Solution

The fourth proportional to 302,801.40, 454,202.10 and 282,972.60 is: 424,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,801.40 : 454,202.10 = 282,972.60 : x
  2. Step 2: Convert to fraction form
    302,801.40/454,202.10 = 282,972.60/x
  3. Step 3: Cross multiply
    302,801.40x = 454,202.10 × 282,972.60
  4. Step 4: Simplify right side
    302,801.40x = 128,526,749,162.46
  5. Step 5: Solve for x
    x = 128,526,749,162.46/302,801.40
  6. Step 6: Final answer
    x = 424,458.90

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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.