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Finding the Fourth Proportional to 413,878.50, 620,298.36 and 176,942.70

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Solution

The fourth proportional to 413,878.50, 620,298.36 and 176,942.70 is: 265,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,878.50 : 620,298.36 = 176,942.70 : x
  2. Step 2: Convert to fraction form
    413,878.50/620,298.36 = 176,942.70/x
  3. Step 3: Cross multiply
    413,878.50x = 620,298.36 × 176,942.70
  4. Step 4: Simplify right side
    413,878.50x = 109,757,266,623.97
  5. Step 5: Solve for x
    x = 109,757,266,623.97/413,878.50
  6. Step 6: Final answer
    x = 265,192.00

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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.