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Finding the Fourth Proportional to 301,830.25, 416,434.91 and 180,927.42

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Solution

The fourth proportional to 301,830.25, 416,434.91 and 180,927.42 is: 249,625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,830.25 : 416,434.91 = 180,927.42 : x
  2. Step 2: Convert to fraction form
    301,830.25/416,434.91 = 180,927.42/x
  3. Step 3: Cross multiply
    301,830.25x = 416,434.91 × 180,927.42
  4. Step 4: Simplify right side
    301,830.25x = 75,344,495,266.99
  5. Step 5: Solve for x
    x = 75,344,495,266.99/301,830.25
  6. Step 6: Final answer
    x = 249,625.40

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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.