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Finding the Fourth Proportional to 299,303.85, 413,039.21 and 163,337.80

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Solution

The fourth proportional to 299,303.85, 413,039.21 and 163,337.80 is: 225,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,303.85 : 413,039.21 = 163,337.80 : x
  2. Step 2: Convert to fraction form
    299,303.85/413,039.21 = 163,337.80/x
  3. Step 3: Cross multiply
    299,303.85x = 413,039.21 × 163,337.80
  4. Step 4: Simplify right side
    299,303.85x = 67,464,914,334.31
  5. Step 5: Solve for x
    x = 67,464,914,334.31/299,303.85
  6. Step 6: Final answer
    x = 225,406.10

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1.5x scale

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.