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Finding the Fourth Proportional to 299,731.74, 413,624.91 and 163,762.76

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Solution

The fourth proportional to 299,731.74, 413,624.91 and 163,762.76 is: 225,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,731.74 : 413,624.91 = 163,762.76 : x
  2. Step 2: Convert to fraction form
    299,731.74/413,624.91 = 163,762.76/x
  3. Step 3: Cross multiply
    299,731.74x = 413,624.91 × 163,762.76
  4. Step 4: Simplify right side
    299,731.74x = 67,736,356,866.35
  5. Step 5: Solve for x
    x = 67,736,356,866.35/299,731.74
  6. Step 6: Final answer
    x = 225,989.94

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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.