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Finding the Fourth Proportional to 299,303, 413,040.55 and 163,338.02

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Solution

The fourth proportional to 299,303, 413,040.55 and 163,338.02 is: 225,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,303 : 413,040.55 = 163,338.02 : x
  2. Step 2: Convert to fraction form
    299,303/413,040.55 = 163,338.02/x
  3. Step 3: Cross multiply
    299,303x = 413,040.55 × 163,338.02
  4. Step 4: Simplify right side
    299,303x = 67,465,225,616.71
  5. Step 5: Solve for x
    x = 67,465,225,616.71/299,303
  6. Step 6: Final answer
    x = 225,407.78

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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.