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Finding the Fourth Proportional to 516,440.91, 712,577.91 and 301,483.42

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Solution

The fourth proportional to 516,440.91, 712,577.91 and 301,483.42 is: 415,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,440.91 : 712,577.91 = 301,483.42 : x
  2. Step 2: Convert to fraction form
    516,440.91/712,577.91 = 301,483.42/x
  3. Step 3: Cross multiply
    516,440.91x = 712,577.91 × 301,483.42
  4. Step 4: Simplify right side
    516,440.91x = 214,830,422,976.53
  5. Step 5: Solve for x
    x = 214,830,422,976.53/516,440.91
  6. Step 6: Final answer
    x = 415,982.58

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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.