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Finding the Fourth Proportional to 303,457.50, 455,208.12 and 116,469

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Solution

The fourth proportional to 303,457.50, 455,208.12 and 116,469 is: 174,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,457.50 : 455,208.12 = 116,469 : x
  2. Step 2: Convert to fraction form
    303,457.50/455,208.12 = 116,469/x
  3. Step 3: Cross multiply
    303,457.50x = 455,208.12 × 116,469
  4. Step 4: Simplify right side
    303,457.50x = 53,017,634,528.28
  5. Step 5: Solve for x
    x = 53,017,634,528.28/303,457.50
  6. Step 6: Final answer
    x = 174,711.89

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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.