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Finding the Fourth Proportional to 302,814.10, 454,111.80 and 153,004.60

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Solution

The fourth proportional to 302,814.10, 454,111.80 and 153,004.60 is: 229,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,814.10 : 454,111.80 = 153,004.60 : x
  2. Step 2: Convert to fraction form
    302,814.10/454,111.80 = 153,004.60/x
  3. Step 3: Cross multiply
    302,814.10x = 454,111.80 × 153,004.60
  4. Step 4: Simplify right side
    302,814.10x = 69,481,194,314.28
  5. Step 5: Solve for x
    x = 69,481,194,314.28/302,814.10
  6. Step 6: Final answer
    x = 229,451.65

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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.