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Finding the Fourth Proportional to 418,905.81, 578,102.40 and 227,931.57

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Solution

The fourth proportional to 418,905.81, 578,102.40 and 227,931.57 is: 314,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,905.81 : 578,102.40 = 227,931.57 : x
  2. Step 2: Convert to fraction form
    418,905.81/578,102.40 = 227,931.57/x
  3. Step 3: Cross multiply
    418,905.81x = 578,102.40 × 227,931.57
  4. Step 4: Simplify right side
    418,905.81x = 131,767,787,652.77
  5. Step 5: Solve for x
    x = 131,767,787,652.77/418,905.81
  6. Step 6: Final answer
    x = 314,552.30

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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.