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Finding the Fourth Proportional to 470,917.84, 649,863.42 and 256,058.08

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Solution

The fourth proportional to 470,917.84, 649,863.42 and 256,058.08 is: 353,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,917.84 : 649,863.42 = 256,058.08 : x
  2. Step 2: Convert to fraction form
    470,917.84/649,863.42 = 256,058.08/x
  3. Step 3: Cross multiply
    470,917.84x = 649,863.42 × 256,058.08
  4. Step 4: Simplify right side
    470,917.84x = 166,402,779,587.43
  5. Step 5: Solve for x
    x = 166,402,779,587.43/470,917.84
  6. Step 6: Final answer
    x = 353,358.41

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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.