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Finding the Fourth Proportional to 401,097.20, 601,645.80 and 342,048.20

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Solution

The fourth proportional to 401,097.20, 601,645.80 and 342,048.20 is: 513,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,097.20 : 601,645.80 = 342,048.20 : x
  2. Step 2: Convert to fraction form
    401,097.20/601,645.80 = 342,048.20/x
  3. Step 3: Cross multiply
    401,097.20x = 601,645.80 × 342,048.20
  4. Step 4: Simplify right side
    401,097.20x = 205,791,862,927.56
  5. Step 5: Solve for x
    x = 205,791,862,927.56/401,097.20
  6. Step 6: Final answer
    x = 513,072.30

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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.