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Finding the Fourth Proportional to 311,482.41, 467,331.98 and 98,283.21

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Solution

The fourth proportional to 311,482.41, 467,331.98 and 98,283.21 is: 147,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,482.41 : 467,331.98 = 98,283.21 : x
  2. Step 2: Convert to fraction form
    311,482.41/467,331.98 = 98,283.21/x
  3. Step 3: Cross multiply
    311,482.41x = 467,331.98 × 98,283.21
  4. Step 4: Simplify right side
    311,482.41x = 45,930,886,638.64
  5. Step 5: Solve for x
    x = 45,930,886,638.64/311,482.41
  6. Step 6: Final answer
    x = 147,459.01

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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.