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Finding the Fourth Proportional to 255,923.49, 353,287.68 and 165,323.64

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Solution

The fourth proportional to 255,923.49, 353,287.68 and 165,323.64 is: 228,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,923.49 : 353,287.68 = 165,323.64 : x
  2. Step 2: Convert to fraction form
    255,923.49/353,287.68 = 165,323.64/x
  3. Step 3: Cross multiply
    255,923.49x = 353,287.68 × 165,323.64
  4. Step 4: Simplify right side
    255,923.49x = 58,406,805,224.76
  5. Step 5: Solve for x
    x = 58,406,805,224.76/255,923.49
  6. Step 6: Final answer
    x = 228,219.79

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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.