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Finding the Fourth Proportional to 299,731.59, 413,624.71 and 163,762.62

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Solution

The fourth proportional to 299,731.59, 413,624.71 and 163,762.62 is: 225,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,731.59 : 413,624.71 = 163,762.62 : x
  2. Step 2: Convert to fraction form
    299,731.59/413,624.71 = 163,762.62/x
  3. Step 3: Cross multiply
    299,731.59x = 413,624.71 × 163,762.62
  4. Step 4: Simplify right side
    299,731.59x = 67,736,266,206.34
  5. Step 5: Solve for x
    x = 67,736,266,206.34/299,731.59
  6. Step 6: Final answer
    x = 225,989.75

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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.