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Finding the Fourth Proportional to 464,822.40, 697,298.40 and 198,580.80

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Solution

The fourth proportional to 464,822.40, 697,298.40 and 198,580.80 is: 297,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,822.40 : 697,298.40 = 198,580.80 : x
  2. Step 2: Convert to fraction form
    464,822.40/697,298.40 = 198,580.80/x
  3. Step 3: Cross multiply
    464,822.40x = 697,298.40 × 198,580.80
  4. Step 4: Simplify right side
    464,822.40x = 138,470,074,110.72
  5. Step 5: Solve for x
    x = 138,470,074,110.72/464,822.40
  6. Step 6: Final answer
    x = 297,898.88

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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.