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Finding the Fourth Proportional to 331,381.10, 497,071.65 and 305,720.30

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Solution

The fourth proportional to 331,381.10, 497,071.65 and 305,720.30 is: 458,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,381.10 : 497,071.65 = 305,720.30 : x
  2. Step 2: Convert to fraction form
    331,381.10/497,071.65 = 305,720.30/x
  3. Step 3: Cross multiply
    331,381.10x = 497,071.65 × 305,720.30
  4. Step 4: Simplify right side
    331,381.10x = 151,964,893,959.50
  5. Step 5: Solve for x
    x = 151,964,893,959.50/331,381.10
  6. Step 6: Final answer
    x = 458,580.45

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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.