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Finding the Fourth Proportional to 331,582.40, 497,373.60 and 82,264.40

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Solution

The fourth proportional to 331,582.40, 497,373.60 and 82,264.40 is: 123,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,582.40 : 497,373.60 = 82,264.40 : x
  2. Step 2: Convert to fraction form
    331,582.40/497,373.60 = 82,264.40/x
  3. Step 3: Cross multiply
    331,582.40x = 497,373.60 × 82,264.40
  4. Step 4: Simplify right side
    331,582.40x = 40,916,140,779.84
  5. Step 5: Solve for x
    x = 40,916,140,779.84/331,582.40
  6. Step 6: Final answer
    x = 123,396.60

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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.