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Finding the Fourth Proportional to 700,576, 966,795.96 and 398,770

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Solution

The fourth proportional to 700,576, 966,795.96 and 398,770 is: 550,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,576 : 966,795.96 = 398,770 : x
  2. Step 2: Convert to fraction form
    700,576/966,795.96 = 398,770/x
  3. Step 3: Cross multiply
    700,576x = 966,795.96 × 398,770
  4. Step 4: Simplify right side
    700,576x = 385,529,224,969.20
  5. Step 5: Solve for x
    x = 385,529,224,969.20/700,576
  6. Step 6: Final answer
    x = 550,303.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.