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Finding the Fourth Proportional to 360,980.38, 497,040.25 and 320,624.02

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Solution

The fourth proportional to 360,980.38, 497,040.25 and 320,624.02 is: 441,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,980.38 : 497,040.25 = 320,624.02 : x
  2. Step 2: Convert to fraction form
    360,980.38/497,040.25 = 320,624.02/x
  3. Step 3: Cross multiply
    360,980.38x = 497,040.25 × 320,624.02
  4. Step 4: Simplify right side
    360,980.38x = 159,363,038,968.48
  5. Step 5: Solve for x
    x = 159,363,038,968.48/360,980.38
  6. Step 6: Final answer
    x = 441,472.86

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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.