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Finding the Fourth Proportional to 340,206.83, 509,727.04 and 240,188.03

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Solution

The fourth proportional to 340,206.83, 509,727.04 and 240,188.03 is: 359,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,206.83 : 509,727.04 = 240,188.03 : x
  2. Step 2: Convert to fraction form
    340,206.83/509,727.04 = 240,188.03/x
  3. Step 3: Cross multiply
    340,206.83x = 509,727.04 × 240,188.03
  4. Step 4: Simplify right side
    340,206.83x = 122,430,333,575.33
  5. Step 5: Solve for x
    x = 122,430,333,575.33/340,206.83
  6. Step 6: Final answer
    x = 359,870.30

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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.