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Finding the Fourth Proportional to 369,022.55, 509,256.25 and 205,674.54

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Solution

The fourth proportional to 369,022.55, 509,256.25 and 205,674.54 is: 283,833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,022.55 : 509,256.25 = 205,674.54 : x
  2. Step 2: Convert to fraction form
    369,022.55/509,256.25 = 205,674.54/x
  3. Step 3: Cross multiply
    369,022.55x = 509,256.25 × 205,674.54
  4. Step 4: Simplify right side
    369,022.55x = 104,741,044,812.82
  5. Step 5: Solve for x
    x = 104,741,044,812.82/369,022.55
  6. Step 6: Final answer
    x = 283,833.72

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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.