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Finding the Fourth Proportional to 333,678.46, 460,476.47 and 182,777.98

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Solution

The fourth proportional to 333,678.46, 460,476.47 and 182,777.98 is: 252,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,678.46 : 460,476.47 = 182,777.98 : x
  2. Step 2: Convert to fraction form
    333,678.46/460,476.47 = 182,777.98/x
  3. Step 3: Cross multiply
    333,678.46x = 460,476.47 × 182,777.98
  4. Step 4: Simplify right side
    333,678.46x = 84,164,959,024.13
  5. Step 5: Solve for x
    x = 84,164,959,024.13/333,678.46
  6. Step 6: Final answer
    x = 252,233.72

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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.