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Finding the Fourth Proportional to 301,832.51, 416,438.01 and 180,929.68

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Solution

The fourth proportional to 301,832.51, 416,438.01 and 180,929.68 is: 249,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,832.51 : 416,438.01 = 180,929.68 : x
  2. Step 2: Convert to fraction form
    301,832.51/416,438.01 = 180,929.68/x
  3. Step 3: Cross multiply
    301,832.51x = 416,438.01 × 180,929.68
  4. Step 4: Simplify right side
    301,832.51x = 75,345,994,848.04
  5. Step 5: Solve for x
    x = 75,345,994,848.04/301,832.51
  6. Step 6: Final answer
    x = 249,628.50

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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.