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Finding the Fourth Proportional to 317,086.65, 437,347.76 and 202,444.11

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Solution

The fourth proportional to 317,086.65, 437,347.76 and 202,444.11 is: 279,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,086.65 : 437,347.76 = 202,444.11 : x
  2. Step 2: Convert to fraction form
    317,086.65/437,347.76 = 202,444.11/x
  3. Step 3: Cross multiply
    317,086.65x = 437,347.76 × 202,444.11
  4. Step 4: Simplify right side
    317,086.65x = 88,538,477,021.47
  5. Step 5: Solve for x
    x = 88,538,477,021.47/317,086.65
  6. Step 6: Final answer
    x = 279,224.86

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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.