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Finding the Fourth Proportional to 301,708.64, 416,344.45 and 180,916.58

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Solution

The fourth proportional to 301,708.64, 416,344.45 and 180,916.58 is: 249,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,708.64 : 416,344.45 = 180,916.58 : x
  2. Step 2: Convert to fraction form
    301,708.64/416,344.45 = 180,916.58/x
  3. Step 3: Cross multiply
    301,708.64x = 416,344.45 × 180,916.58
  4. Step 4: Simplify right side
    301,708.64x = 75,323,613,995.98
  5. Step 5: Solve for x
    x = 75,323,613,995.98/301,708.64
  6. Step 6: Final answer
    x = 249,656.80

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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.