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Finding the Fourth Proportional to 484,412.54, 726,668.35 and 185,145.01

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Solution

The fourth proportional to 484,412.54, 726,668.35 and 185,145.01 is: 277,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,412.54 : 726,668.35 = 185,145.01 : x
  2. Step 2: Convert to fraction form
    484,412.54/726,668.35 = 185,145.01/x
  3. Step 3: Cross multiply
    484,412.54x = 726,668.35 × 185,145.01
  4. Step 4: Simplify right side
    484,412.54x = 134,539,016,647.90
  5. Step 5: Solve for x
    x = 134,539,016,647.90/484,412.54
  6. Step 6: Final answer
    x = 277,736.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.