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Finding the Fourth Proportional to 508,405.90, 701,308.65 and 317,087.14

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Solution

The fourth proportional to 508,405.90, 701,308.65 and 317,087.14 is: 437,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,405.90 : 701,308.65 = 317,087.14 : x
  2. Step 2: Convert to fraction form
    508,405.90/701,308.65 = 317,087.14/x
  3. Step 3: Cross multiply
    508,405.90x = 701,308.65 × 317,087.14
  4. Step 4: Simplify right side
    508,405.90x = 222,375,954,085.76
  5. Step 5: Solve for x
    x = 222,375,954,085.76/508,405.90
  6. Step 6: Final answer
    x = 437,398.45

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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.