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Finding the Fourth Proportional to 299,302.17, 413,045.71 and 163,344.87

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Solution

The fourth proportional to 299,302.17, 413,045.71 and 163,344.87 is: 225,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,302.17 : 413,045.71 = 163,344.87 : x
  2. Step 2: Convert to fraction form
    299,302.17/413,045.71 = 163,344.87/x
  3. Step 3: Cross multiply
    299,302.17x = 413,045.71 × 163,344.87
  4. Step 4: Simplify right side
    299,302.17x = 67,468,897,804.01
  5. Step 5: Solve for x
    x = 67,468,897,804.01/299,302.17
  6. Step 6: Final answer
    x = 225,420.68

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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.