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Finding the Fourth Proportional to 470,886.62, 649,815.88 and 256,032.09

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Solution

The fourth proportional to 470,886.62, 649,815.88 and 256,032.09 is: 353,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,886.62 : 649,815.88 = 256,032.09 : x
  2. Step 2: Convert to fraction form
    470,886.62/649,815.88 = 256,032.09/x
  3. Step 3: Cross multiply
    470,886.62x = 649,815.88 × 256,032.09
  4. Step 4: Simplify right side
    470,886.62x = 166,373,719,668.32
  5. Step 5: Solve for x
    x = 166,373,719,668.32/470,886.62
  6. Step 6: Final answer
    x = 353,320.13

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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.