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Finding the Fourth Proportional to 299,314.48, 413,056.44 and 163,349.52

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Solution

The fourth proportional to 299,314.48, 413,056.44 and 163,349.52 is: 225,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,314.48 : 413,056.44 = 163,349.52 : x
  2. Step 2: Convert to fraction form
    299,314.48/413,056.44 = 163,349.52/x
  3. Step 3: Cross multiply
    299,314.48x = 413,056.44 × 163,349.52
  4. Step 4: Simplify right side
    299,314.48x = 67,472,571,206.91
  5. Step 5: Solve for x
    x = 67,472,571,206.91/299,314.48
  6. Step 6: Final answer
    x = 225,423.68

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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.