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Finding the Fourth Proportional to 291,484.17, 402,246.41 and 164,200.77

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Solution

The fourth proportional to 291,484.17, 402,246.41 and 164,200.77 is: 226,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,484.17 : 402,246.41 = 164,200.77 : x
  2. Step 2: Convert to fraction form
    291,484.17/402,246.41 = 164,200.77/x
  3. Step 3: Cross multiply
    291,484.17x = 402,246.41 × 164,200.77
  4. Step 4: Simplify right side
    291,484.17x = 66,049,169,430.73
  5. Step 5: Solve for x
    x = 66,049,169,430.73/291,484.17
  6. Step 6: Final answer
    x = 226,596.08

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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.