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Finding the Fourth Proportional to 413,493.09, 570,602.78 and 241,420.60

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Solution

The fourth proportional to 413,493.09, 570,602.78 and 241,420.60 is: 333,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,493.09 : 570,602.78 = 241,420.60 : x
  2. Step 2: Convert to fraction form
    413,493.09/570,602.78 = 241,420.60/x
  3. Step 3: Cross multiply
    413,493.09x = 570,602.78 × 241,420.60
  4. Step 4: Simplify right side
    413,493.09x = 137,755,265,920.75
  5. Step 5: Solve for x
    x = 137,755,265,920.75/413,493.09
  6. Step 6: Final answer
    x = 333,150.11

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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.