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Finding the Fourth Proportional to 311,534.59, 467,347 and 98,230.11

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Solution

The fourth proportional to 311,534.59, 467,347 and 98,230.11 is: 147,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,534.59 : 467,347 = 98,230.11 : x
  2. Step 2: Convert to fraction form
    311,534.59/467,347 = 98,230.11/x
  3. Step 3: Cross multiply
    311,534.59x = 467,347 × 98,230.11
  4. Step 4: Simplify right side
    311,534.59x = 45,907,547,218.17
  5. Step 5: Solve for x
    x = 45,907,547,218.17/311,534.59
  6. Step 6: Final answer
    x = 147,359.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.