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Finding the Fourth Proportional to 464,990.70, 697,922.64 and 228,503.10

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Solution

The fourth proportional to 464,990.70, 697,922.64 and 228,503.10 is: 342,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,990.70 : 697,922.64 = 228,503.10 : x
  2. Step 2: Convert to fraction form
    464,990.70/697,922.64 = 228,503.10/x
  3. Step 3: Cross multiply
    464,990.70x = 697,922.64 × 228,503.10
  4. Step 4: Simplify right side
    464,990.70x = 159,477,486,800.18
  5. Step 5: Solve for x
    x = 159,477,486,800.18/464,990.70
  6. Step 6: Final answer
    x = 342,969.20

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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.