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Finding the Fourth Proportional to 464,818.10, 697,522.10 and 198,580.62

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Solution

The fourth proportional to 464,818.10, 697,522.10 and 198,580.62 is: 297,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,818.10 : 697,522.10 = 198,580.62 : x
  2. Step 2: Convert to fraction form
    464,818.10/697,522.10 = 198,580.62/x
  3. Step 3: Cross multiply
    464,818.10x = 697,522.10 × 198,580.62
  4. Step 4: Simplify right side
    464,818.10x = 138,514,370,088.80
  5. Step 5: Solve for x
    x = 138,514,370,088.80/464,818.10
  6. Step 6: Final answer
    x = 297,996.94

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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.