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Finding the Fourth Proportional to 419,133.72, 578,417.58 and 228,159.84

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Solution

The fourth proportional to 419,133.72, 578,417.58 and 228,159.84 is: 314,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,133.72 : 578,417.58 = 228,159.84 : x
  2. Step 2: Convert to fraction form
    419,133.72/578,417.58 = 228,159.84/x
  3. Step 3: Cross multiply
    419,133.72x = 578,417.58 × 228,159.84
  4. Step 4: Simplify right side
    419,133.72x = 131,971,662,505.99
  5. Step 5: Solve for x
    x = 131,971,662,505.99/419,133.72
  6. Step 6: Final answer
    x = 314,867.68

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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.