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Finding the Fourth Proportional to 301,685.64, 416,312.72 and 180,893.60

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Solution

The fourth proportional to 301,685.64, 416,312.72 and 180,893.60 is: 249,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,685.64 : 416,312.72 = 180,893.60 : x
  2. Step 2: Convert to fraction form
    301,685.64/416,312.72 = 180,893.60/x
  3. Step 3: Cross multiply
    301,685.64x = 416,312.72 × 180,893.60
  4. Step 4: Simplify right side
    301,685.64x = 75,308,306,646.59
  5. Step 5: Solve for x
    x = 75,308,306,646.59/301,685.64
  6. Step 6: Final answer
    x = 249,625.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.