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Finding the Fourth Proportional to 301,860.37, 416,476.38 and 180,957.54

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Solution

The fourth proportional to 301,860.37, 416,476.38 and 180,957.54 is: 249,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,860.37 : 416,476.38 = 180,957.54 : x
  2. Step 2: Convert to fraction form
    301,860.37/416,476.38 = 180,957.54/x
  3. Step 3: Cross multiply
    301,860.37x = 416,476.38 × 180,957.54
  4. Step 4: Simplify right side
    301,860.37x = 75,364,543,433.28
  5. Step 5: Solve for x
    x = 75,364,543,433.28/301,860.37
  6. Step 6: Final answer
    x = 249,666.90

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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.