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Finding the Fourth Proportional to 413,927.16, 620,371.35 and 176,991.72

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Solution

The fourth proportional to 413,927.16, 620,371.35 and 176,991.72 is: 265,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,927.16 : 620,371.35 = 176,991.72 : x
  2. Step 2: Convert to fraction form
    413,927.16/620,371.35 = 176,991.72/x
  3. Step 3: Cross multiply
    413,927.16x = 620,371.35 × 176,991.72
  4. Step 4: Simplify right side
    413,927.16x = 109,800,592,275.22
  5. Step 5: Solve for x
    x = 109,800,592,275.22/413,927.16
  6. Step 6: Final answer
    x = 265,265.49

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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.