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Finding the Fourth Proportional to 470,109.36, 648,853.20 and 288,916.32

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Solution

The fourth proportional to 470,109.36, 648,853.20 and 288,916.32 is: 398,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,109.36 : 648,853.20 = 288,916.32 : x
  2. Step 2: Convert to fraction form
    470,109.36/648,853.20 = 288,916.32/x
  3. Step 3: Cross multiply
    470,109.36x = 648,853.20 × 288,916.32
  4. Step 4: Simplify right side
    470,109.36x = 187,464,278,764.22
  5. Step 5: Solve for x
    x = 187,464,278,764.22/470,109.36
  6. Step 6: Final answer
    x = 398,767.38

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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.