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Finding the Fourth Proportional to 295,442.87, 407,705.62 and 180,713.08

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Solution

The fourth proportional to 295,442.87, 407,705.62 and 180,713.08 is: 249,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,442.87 : 407,705.62 = 180,713.08 : x
  2. Step 2: Convert to fraction form
    295,442.87/407,705.62 = 180,713.08/x
  3. Step 3: Cross multiply
    295,442.87x = 407,705.62 × 180,713.08
  4. Step 4: Simplify right side
    295,442.87x = 73,677,738,323.51
  5. Step 5: Solve for x
    x = 73,677,738,323.51/295,442.87
  6. Step 6: Final answer
    x = 249,380.66

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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.