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Finding the Fourth Proportional to 317,094.60, 437,610.82 and 209,475.98

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Solution

The fourth proportional to 317,094.60, 437,610.82 and 209,475.98 is: 289,090.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,094.60 : 437,610.82 = 209,475.98 : x
  2. Step 2: Convert to fraction form
    317,094.60/437,610.82 = 209,475.98/x
  3. Step 3: Cross multiply
    317,094.60x = 437,610.82 × 209,475.98
  4. Step 4: Simplify right side
    317,094.60x = 91,668,954,700.17
  5. Step 5: Solve for x
    x = 91,668,954,700.17/317,094.60
  6. Step 6: Final answer
    x = 289,090.24

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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.