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Finding the Fourth Proportional to 397,905.93, 547,894.11 and 299,931.51

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Solution

The fourth proportional to 397,905.93, 547,894.11 and 299,931.51 is: 412,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,905.93 : 547,894.11 = 299,931.51 : x
  2. Step 2: Convert to fraction form
    397,905.93/547,894.11 = 299,931.51/x
  3. Step 3: Cross multiply
    397,905.93x = 547,894.11 × 299,931.51
  4. Step 4: Simplify right side
    397,905.93x = 164,330,707,732.41
  5. Step 5: Solve for x
    x = 164,330,707,732.41/397,905.93
  6. Step 6: Final answer
    x = 412,988.84

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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.