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Finding the Fourth Proportional to 369,223.50, 509,528.43 and 199,457.64

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Solution

The fourth proportional to 369,223.50, 509,528.43 and 199,457.64 is: 275,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,223.50 : 509,528.43 = 199,457.64 : x
  2. Step 2: Convert to fraction form
    369,223.50/509,528.43 = 199,457.64/x
  3. Step 3: Cross multiply
    369,223.50x = 509,528.43 × 199,457.64
  4. Step 4: Simplify right side
    369,223.50x = 101,629,338,160.71
  5. Step 5: Solve for x
    x = 101,629,338,160.71/369,223.50
  6. Step 6: Final answer
    x = 275,251.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.