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Finding the Fourth Proportional to 299,303.52, 413,041.26 and 163,338.54

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Solution

The fourth proportional to 299,303.52, 413,041.26 and 163,338.54 is: 225,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,303.52 : 413,041.26 = 163,338.54 : x
  2. Step 2: Convert to fraction form
    299,303.52/413,041.26 = 163,338.54/x
  3. Step 3: Cross multiply
    299,303.52x = 413,041.26 × 163,338.54
  4. Step 4: Simplify right side
    299,303.52x = 67,465,556,368.16
  5. Step 5: Solve for x
    x = 67,465,556,368.16/299,303.52
  6. Step 6: Final answer
    x = 225,408.50

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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.