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Finding the Fourth Proportional to 302,590.60, 454,323.30 and 228,232.60

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Solution

The fourth proportional to 302,590.60, 454,323.30 and 228,232.60 is: 342,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,590.60 : 454,323.30 = 228,232.60 : x
  2. Step 2: Convert to fraction form
    302,590.60/454,323.30 = 228,232.60/x
  3. Step 3: Cross multiply
    302,590.60x = 454,323.30 × 228,232.60
  4. Step 4: Simplify right side
    302,590.60x = 103,691,387,999.58
  5. Step 5: Solve for x
    x = 103,691,387,999.58/302,590.60
  6. Step 6: Final answer
    x = 342,678.81

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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.