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Finding the Fourth Proportional to 364,100.42, 502,636.88 and 282,247.85

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Solution

The fourth proportional to 364,100.42, 502,636.88 and 282,247.85 is: 389,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,100.42 : 502,636.88 = 282,247.85 : x
  2. Step 2: Convert to fraction form
    364,100.42/502,636.88 = 282,247.85/x
  3. Step 3: Cross multiply
    364,100.42x = 502,636.88 × 282,247.85
  4. Step 4: Simplify right side
    364,100.42x = 141,868,174,786.28
  5. Step 5: Solve for x
    x = 141,868,174,786.28/364,100.42
  6. Step 6: Final answer
    x = 389,640.24

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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.