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Finding the Fourth Proportional to 360,308.48, 497,216.95 and 199,159.38

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Solution

The fourth proportional to 360,308.48, 497,216.95 and 199,159.38 is: 274,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,308.48 : 497,216.95 = 199,159.38 : x
  2. Step 2: Convert to fraction form
    360,308.48/497,216.95 = 199,159.38/x
  3. Step 3: Cross multiply
    360,308.48x = 497,216.95 × 199,159.38
  4. Step 4: Simplify right side
    360,308.48x = 99,025,418,989.59
  5. Step 5: Solve for x
    x = 99,025,418,989.59/360,308.48
  6. Step 6: Final answer
    x = 274,835.11

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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.