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Finding the Fourth Proportional to 536,294.40, 803,929.60 and 199,244.80

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Solution

The fourth proportional to 536,294.40, 803,929.60 and 199,244.80 is: 298,676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,294.40 : 803,929.60 = 199,244.80 : x
  2. Step 2: Convert to fraction form
    536,294.40/803,929.60 = 199,244.80/x
  3. Step 3: Cross multiply
    536,294.40x = 803,929.60 × 199,244.80
  4. Step 4: Simplify right side
    536,294.40x = 160,178,792,366.08
  5. Step 5: Solve for x
    x = 160,178,792,366.08/536,294.40
  6. Step 6: Final answer
    x = 298,676.98

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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.