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Finding the Fourth Proportional to 464,798.24, 697,492.26 and 198,560.69

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Solution

The fourth proportional to 464,798.24, 697,492.26 and 198,560.69 is: 297,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,798.24 : 697,492.26 = 198,560.69 : x
  2. Step 2: Convert to fraction form
    464,798.24/697,492.26 = 198,560.69/x
  3. Step 3: Cross multiply
    464,798.24x = 697,492.26 × 198,560.69
  4. Step 4: Simplify right side
    464,798.24x = 138,494,540,927.80
  5. Step 5: Solve for x
    x = 138,494,540,927.80/464,798.24
  6. Step 6: Final answer
    x = 297,967.01

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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.