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Finding the Fourth Proportional to 575,058.12, 793,604.34 and 320,409.16

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Solution

The fourth proportional to 575,058.12, 793,604.34 and 320,409.16 is: 442,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,058.12 : 793,604.34 = 320,409.16 : x
  2. Step 2: Convert to fraction form
    575,058.12/793,604.34 = 320,409.16/x
  3. Step 3: Cross multiply
    575,058.12x = 793,604.34 × 320,409.16
  4. Step 4: Simplify right side
    575,058.12x = 254,278,099,951.75
  5. Step 5: Solve for x
    x = 254,278,099,951.75/575,058.12
  6. Step 6: Final answer
    x = 442,178.09

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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.