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Finding the Fourth Proportional to 489,823.20, 734,734.80 and 411,091.20

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Solution

The fourth proportional to 489,823.20, 734,734.80 and 411,091.20 is: 616,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,823.20 : 734,734.80 = 411,091.20 : x
  2. Step 2: Convert to fraction form
    489,823.20/734,734.80 = 411,091.20/x
  3. Step 3: Cross multiply
    489,823.20x = 734,734.80 × 411,091.20
  4. Step 4: Simplify right side
    489,823.20x = 302,043,010,613.76
  5. Step 5: Solve for x
    x = 302,043,010,613.76/489,823.20
  6. Step 6: Final answer
    x = 616,636.80

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Similar ratio
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1.5x scale

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.