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Finding the Fourth Proportional to 301,705.14, 416,339.64 and 180,913.08

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Solution

The fourth proportional to 301,705.14, 416,339.64 and 180,913.08 is: 249,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,705.14 : 416,339.64 = 180,913.08 : x
  2. Step 2: Convert to fraction form
    301,705.14/416,339.64 = 180,913.08/x
  3. Step 3: Cross multiply
    301,705.14x = 416,339.64 × 180,913.08
  4. Step 4: Simplify right side
    301,705.14x = 75,321,286,598.49
  5. Step 5: Solve for x
    x = 75,321,286,598.49/301,705.14
  6. Step 6: Final answer
    x = 249,651.98

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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.