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Finding the Fourth Proportional to 333,823.40, 500,054.70 and 207,074.60

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Solution

The fourth proportional to 333,823.40, 500,054.70 and 207,074.60 is: 310,189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,823.40 : 500,054.70 = 207,074.60 : x
  2. Step 2: Convert to fraction form
    333,823.40/500,054.70 = 207,074.60/x
  3. Step 3: Cross multiply
    333,823.40x = 500,054.70 × 207,074.60
  4. Step 4: Simplify right side
    333,823.40x = 103,548,626,980.62
  5. Step 5: Solve for x
    x = 103,548,626,980.62/333,823.40
  6. Step 6: Final answer
    x = 310,189.84

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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.