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Finding the Fourth Proportional to 419,094.05, 578,349.34 and 228,106.98

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Solution

The fourth proportional to 419,094.05, 578,349.34 and 228,106.98 is: 314,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,094.05 : 578,349.34 = 228,106.98 : x
  2. Step 2: Convert to fraction form
    419,094.05/578,349.34 = 228,106.98/x
  3. Step 3: Cross multiply
    419,094.05x = 578,349.34 × 228,106.98
  4. Step 4: Simplify right side
    419,094.05x = 131,925,521,332.39
  5. Step 5: Solve for x
    x = 131,925,521,332.39/419,094.05
  6. Step 6: Final answer
    x = 314,787.39

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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.