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Finding the Fourth Proportional to 474,040.74, 710,955.81 and 137,007.84

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Solution

The fourth proportional to 474,040.74, 710,955.81 and 137,007.84 is: 205,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,040.74 : 710,955.81 = 137,007.84 : x
  2. Step 2: Convert to fraction form
    474,040.74/710,955.81 = 137,007.84/x
  3. Step 3: Cross multiply
    474,040.74x = 710,955.81 × 137,007.84
  4. Step 4: Simplify right side
    474,040.74x = 97,406,519,863.55
  5. Step 5: Solve for x
    x = 97,406,519,863.55/474,040.74
  6. Step 6: Final answer
    x = 205,481.33

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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.