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Finding the Fourth Proportional to 656,783.22, 983,698.56 and 399,920.07

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Solution

The fourth proportional to 656,783.22, 983,698.56 and 399,920.07 is: 598,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,783.22 : 983,698.56 = 399,920.07 : x
  2. Step 2: Convert to fraction form
    656,783.22/983,698.56 = 399,920.07/x
  3. Step 3: Cross multiply
    656,783.22x = 983,698.56 × 399,920.07
  4. Step 4: Simplify right side
    656,783.22x = 393,400,796,974.10
  5. Step 5: Solve for x
    x = 393,400,796,974.10/656,783.22
  6. Step 6: Final answer
    x = 598,981.19

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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.