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Finding the Fourth Proportional to 705,315.85, 973,335.78 and 399,392.14

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Solution

The fourth proportional to 705,315.85, 973,335.78 and 399,392.14 is: 551,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,315.85 : 973,335.78 = 399,392.14 : x
  2. Step 2: Convert to fraction form
    705,315.85/973,335.78 = 399,392.14/x
  3. Step 3: Cross multiply
    705,315.85x = 973,335.78 × 399,392.14
  4. Step 4: Simplify right side
    705,315.85x = 388,742,661,680.30
  5. Step 5: Solve for x
    x = 388,742,661,680.30/705,315.85
  6. Step 6: Final answer
    x = 551,161.10

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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.