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Finding the Fourth Proportional to 659,195.44, 909,355.82 and 417,070.24

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Solution

The fourth proportional to 659,195.44, 909,355.82 and 417,070.24 is: 575,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,195.44 : 909,355.82 = 417,070.24 : x
  2. Step 2: Convert to fraction form
    659,195.44/909,355.82 = 417,070.24/x
  3. Step 3: Cross multiply
    659,195.44x = 909,355.82 × 417,070.24
  4. Step 4: Simplify right side
    659,195.44x = 379,265,250,092.80
  5. Step 5: Solve for x
    x = 379,265,250,092.80/659,195.44
  6. Step 6: Final answer
    x = 575,345.68

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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.