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Finding the Fourth Proportional to 401,277.14, 602,007.90 and 135,030.54

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Solution

The fourth proportional to 401,277.14, 602,007.90 and 135,030.54 is: 202,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,277.14 : 602,007.90 = 135,030.54 : x
  2. Step 2: Convert to fraction form
    401,277.14/602,007.90 = 135,030.54/x
  3. Step 3: Cross multiply
    401,277.14x = 602,007.90 × 135,030.54
  4. Step 4: Simplify right side
    401,277.14x = 81,289,453,572.43
  5. Step 5: Solve for x
    x = 81,289,453,572.43/401,277.14
  6. Step 6: Final answer
    x = 202,576.84

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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.