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Finding the Fourth Proportional to 400,914, 601,406.52 and 105,426

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Solution

The fourth proportional to 400,914, 601,406.52 and 105,426 is: 158,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,914 : 601,406.52 = 105,426 : x
  2. Step 2: Convert to fraction form
    400,914/601,406.52 = 105,426/x
  3. Step 3: Cross multiply
    400,914x = 601,406.52 × 105,426
  4. Step 4: Simplify right side
    400,914x = 63,403,883,777.52
  5. Step 5: Solve for x
    x = 63,403,883,777.52/400,914
  6. Step 6: Final answer
    x = 158,148.34

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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.