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Finding the Fourth Proportional to 316,478.70, 474,389.99 and 197,877.69

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Solution

The fourth proportional to 316,478.70, 474,389.99 and 197,877.69 is: 296,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,478.70 : 474,389.99 = 197,877.69 : x
  2. Step 2: Convert to fraction form
    316,478.70/474,389.99 = 197,877.69/x
  3. Step 3: Cross multiply
    316,478.70x = 474,389.99 × 197,877.69
  4. Step 4: Simplify right side
    316,478.70x = 93,871,194,390.93
  5. Step 5: Solve for x
    x = 93,871,194,390.93/316,478.70
  6. Step 6: Final answer
    x = 296,611.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.