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Finding the Fourth Proportional to 301,830.29, 416,434.96 and 180,927.46

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Solution

The fourth proportional to 301,830.29, 416,434.96 and 180,927.46 is: 249,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,830.29 : 416,434.96 = 180,927.46 : x
  2. Step 2: Convert to fraction form
    301,830.29/416,434.96 = 180,927.46/x
  3. Step 3: Cross multiply
    301,830.29x = 416,434.96 × 180,927.46
  4. Step 4: Simplify right side
    301,830.29x = 75,344,516,581.19
  5. Step 5: Solve for x
    x = 75,344,516,581.19/301,830.29
  6. Step 6: Final answer
    x = 249,625.44

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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.