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Finding the Fourth Proportional to 301,586.68, 416,004.42 and 216,817.48

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Solution

The fourth proportional to 301,586.68, 416,004.42 and 216,817.48 is: 299,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,586.68 : 416,004.42 = 216,817.48 : x
  2. Step 2: Convert to fraction form
    301,586.68/416,004.42 = 216,817.48/x
  3. Step 3: Cross multiply
    301,586.68x = 416,004.42 × 216,817.48
  4. Step 4: Simplify right side
    301,586.68x = 90,197,030,013.26
  5. Step 5: Solve for x
    x = 90,197,030,013.26/301,586.68
  6. Step 6: Final answer
    x = 299,074.98

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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.