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Finding the Fourth Proportional to 301,830.78, 416,435.65 and 180,927.96

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Solution

The fourth proportional to 301,830.78, 416,435.65 and 180,927.96 is: 249,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,830.78 : 416,435.65 = 180,927.96 : x
  2. Step 2: Convert to fraction form
    301,830.78/416,435.65 = 180,927.96/x
  3. Step 3: Cross multiply
    301,830.78x = 416,435.65 × 180,927.96
  4. Step 4: Simplify right side
    301,830.78x = 75,344,852,625.77
  5. Step 5: Solve for x
    x = 75,344,852,625.77/301,830.78
  6. Step 6: Final answer
    x = 249,626.14

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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.