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Finding the Fourth Proportional to 589,699.20, 883,641.60 and 439,233.60

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Solution

The fourth proportional to 589,699.20, 883,641.60 and 439,233.60 is: 658,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,699.20 : 883,641.60 = 439,233.60 : x
  2. Step 2: Convert to fraction form
    589,699.20/883,641.60 = 439,233.60/x
  3. Step 3: Cross multiply
    589,699.20x = 883,641.60 × 439,233.60
  4. Step 4: Simplify right side
    589,699.20x = 388,125,081,077.76
  5. Step 5: Solve for x
    x = 388,125,081,077.76/589,699.20
  6. Step 6: Final answer
    x = 658,174.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.