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Finding the Fourth Proportional to 299,531.13, 413,349.72 and 163,564.67

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Solution

The fourth proportional to 299,531.13, 413,349.72 and 163,564.67 is: 225,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,531.13 : 413,349.72 = 163,564.67 : x
  2. Step 2: Convert to fraction form
    299,531.13/413,349.72 = 163,564.67/x
  3. Step 3: Cross multiply
    299,531.13x = 413,349.72 × 163,564.67
  4. Step 4: Simplify right side
    299,531.13x = 67,609,408,479.64
  5. Step 5: Solve for x
    x = 67,609,408,479.64/299,531.13
  6. Step 6: Final answer
    x = 225,717.47

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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.