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Finding the Fourth Proportional to 409,350.51, 564,898.86 and 228,061.98

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Solution

The fourth proportional to 409,350.51, 564,898.86 and 228,061.98 is: 314,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,350.51 : 564,898.86 = 228,061.98 : x
  2. Step 2: Convert to fraction form
    409,350.51/564,898.86 = 228,061.98/x
  3. Step 3: Cross multiply
    409,350.51x = 564,898.86 × 228,061.98
  4. Step 4: Simplify right side
    409,350.51x = 128,831,952,511.34
  5. Step 5: Solve for x
    x = 128,831,952,511.34/409,350.51
  6. Step 6: Final answer
    x = 314,722.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.