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Finding the Fourth Proportional to 360,443.48, 497,403.18 and 199,294.38

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Solution

The fourth proportional to 360,443.48, 497,403.18 and 199,294.38 is: 275,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,443.48 : 497,403.18 = 199,294.38 : x
  2. Step 2: Convert to fraction form
    360,443.48/497,403.18 = 199,294.38/x
  3. Step 3: Cross multiply
    360,443.48x = 497,403.18 × 199,294.38
  4. Step 4: Simplify right side
    360,443.48x = 99,129,658,368.13
  5. Step 5: Solve for x
    x = 99,129,658,368.13/360,443.48
  6. Step 6: Final answer
    x = 275,021.37

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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.