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Finding the Fourth Proportional to 299,298.99, 413,035.02 and 163,334.01

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Solution

The fourth proportional to 299,298.99, 413,035.02 and 163,334.01 is: 225,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,298.99 : 413,035.02 = 163,334.01 : x
  2. Step 2: Convert to fraction form
    299,298.99/413,035.02 = 163,334.01/x
  3. Step 3: Cross multiply
    299,298.99x = 413,035.02 × 163,334.01
  4. Step 4: Simplify right side
    299,298.99x = 67,462,666,087.03
  5. Step 5: Solve for x
    x = 67,462,666,087.03/299,298.99
  6. Step 6: Final answer
    x = 225,402.25

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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.