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Finding the Fourth Proportional to 286,762.80, 430,231.68 and 146,619.84

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Solution

The fourth proportional to 286,762.80, 430,231.68 and 146,619.84 is: 219,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,762.80 : 430,231.68 = 146,619.84 : x
  2. Step 2: Convert to fraction form
    286,762.80/430,231.68 = 146,619.84/x
  3. Step 3: Cross multiply
    286,762.80x = 430,231.68 × 146,619.84
  4. Step 4: Simplify right side
    286,762.80x = 63,080,500,084.53
  5. Step 5: Solve for x
    x = 63,080,500,084.53/286,762.80
  6. Step 6: Final answer
    x = 219,974.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.