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Finding the Fourth Proportional to 407,259.92, 560,025.72 and 353,451.51

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Solution

The fourth proportional to 407,259.92, 560,025.72 and 353,451.51 is: 486,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,259.92 : 560,025.72 = 353,451.51 : x
  2. Step 2: Convert to fraction form
    407,259.92/560,025.72 = 353,451.51/x
  3. Step 3: Cross multiply
    407,259.92x = 560,025.72 × 353,451.51
  4. Step 4: Simplify right side
    407,259.92x = 197,941,938,472.93
  5. Step 5: Solve for x
    x = 197,941,938,472.93/407,259.92
  6. Step 6: Final answer
    x = 486,033.44

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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.