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Finding the Fourth Proportional to 488,084.40, 731,907.90 and 188,465.40

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Solution

The fourth proportional to 488,084.40, 731,907.90 and 188,465.40 is: 282,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,084.40 : 731,907.90 = 188,465.40 : x
  2. Step 2: Convert to fraction form
    488,084.40/731,907.90 = 188,465.40/x
  3. Step 3: Cross multiply
    488,084.40x = 731,907.90 × 188,465.40
  4. Step 4: Simplify right side
    488,084.40x = 137,939,315,136.66
  5. Step 5: Solve for x
    x = 137,939,315,136.66/488,084.40
  6. Step 6: Final answer
    x = 282,613.65

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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.