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Finding the Fourth Proportional to 516,443.92, 712,582.04 and 301,486.42

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Solution

The fourth proportional to 516,443.92, 712,582.04 and 301,486.42 is: 415,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,443.92 : 712,582.04 = 301,486.42 : x
  2. Step 2: Convert to fraction form
    516,443.92/712,582.04 = 301,486.42/x
  3. Step 3: Cross multiply
    516,443.92x = 712,582.04 × 301,486.42
  4. Step 4: Simplify right side
    516,443.92x = 214,833,808,195.90
  5. Step 5: Solve for x
    x = 214,833,808,195.90/516,443.92
  6. Step 6: Final answer
    x = 415,986.71

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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.