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Finding the Fourth Proportional to 299,298.49, 413,034.33 and 163,333.51

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Solution

The fourth proportional to 299,298.49, 413,034.33 and 163,333.51 is: 225,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,298.49 : 413,034.33 = 163,333.51 : x
  2. Step 2: Convert to fraction form
    299,298.49/413,034.33 = 163,333.51/x
  3. Step 3: Cross multiply
    299,298.49x = 413,034.33 × 163,333.51
  4. Step 4: Simplify right side
    299,298.49x = 67,462,346,869.40
  5. Step 5: Solve for x
    x = 67,462,346,869.40/299,298.49
  6. Step 6: Final answer
    x = 225,401.56

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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.