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Finding the Fourth Proportional to 301,033.99, 415,417.57 and 165,064.35

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Solution

The fourth proportional to 301,033.99, 415,417.57 and 165,064.35 is: 227,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,033.99 : 415,417.57 = 165,064.35 : x
  2. Step 2: Convert to fraction form
    301,033.99/415,417.57 = 165,064.35/x
  3. Step 3: Cross multiply
    301,033.99x = 415,417.57 × 165,064.35
  4. Step 4: Simplify right side
    301,033.99x = 68,570,631,170.63
  5. Step 5: Solve for x
    x = 68,570,631,170.63/301,033.99
  6. Step 6: Final answer
    x = 227,783.68

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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.