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Finding the Fourth Proportional to 470,717.55, 649,594.14 and 255,857.58

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Solution

The fourth proportional to 470,717.55, 649,594.14 and 255,857.58 is: 353,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,717.55 : 649,594.14 = 255,857.58 : x
  2. Step 2: Convert to fraction form
    470,717.55/649,594.14 = 255,857.58/x
  3. Step 3: Cross multiply
    470,717.55x = 649,594.14 × 255,857.58
  4. Step 4: Simplify right side
    470,717.55x = 166,203,584,642.58
  5. Step 5: Solve for x
    x = 166,203,584,642.58/470,717.55
  6. Step 6: Final answer
    x = 353,085.59

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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.