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Finding the Fourth Proportional to 409,562.96, 565,128.36 and 228,235.12

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Solution

The fourth proportional to 409,562.96, 565,128.36 and 228,235.12 is: 314,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,562.96 : 565,128.36 = 228,235.12 : x
  2. Step 2: Convert to fraction form
    409,562.96/565,128.36 = 228,235.12/x
  3. Step 3: Cross multiply
    409,562.96x = 565,128.36 × 228,235.12
  4. Step 4: Simplify right side
    409,562.96x = 128,982,139,060.00
  5. Step 5: Solve for x
    x = 128,982,139,060.00/409,562.96
  6. Step 6: Final answer
    x = 314,926.28

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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.