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Finding the Fourth Proportional to 419,004.84, 578,225.60 and 228,018.18

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Solution

The fourth proportional to 419,004.84, 578,225.60 and 228,018.18 is: 314,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,004.84 : 578,225.60 = 228,018.18 : x
  2. Step 2: Convert to fraction form
    419,004.84/578,225.60 = 228,018.18/x
  3. Step 3: Cross multiply
    419,004.84x = 578,225.60 × 228,018.18
  4. Step 4: Simplify right side
    419,004.84x = 131,845,948,941.41
  5. Step 5: Solve for x
    x = 131,845,948,941.41/419,004.84
  6. Step 6: Final answer
    x = 314,664.50

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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.