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Finding the Fourth Proportional to 400,329.84, 600,698.42 and 175,632

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Solution

The fourth proportional to 400,329.84, 600,698.42 and 175,632 is: 263,537.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,329.84 : 600,698.42 = 175,632 : x
  2. Step 2: Convert to fraction form
    400,329.84/600,698.42 = 175,632/x
  3. Step 3: Cross multiply
    400,329.84x = 600,698.42 × 175,632
  4. Step 4: Simplify right side
    400,329.84x = 105,501,864,023.28
  5. Step 5: Solve for x
    x = 105,501,864,023.28/400,329.84
  6. Step 6: Final answer
    x = 263,537.35

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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.