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Finding the Fourth Proportional to 334,645.20, 501,967.80 and 319,093.20

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Solution

The fourth proportional to 334,645.20, 501,967.80 and 319,093.20 is: 478,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,645.20 : 501,967.80 = 319,093.20 : x
  2. Step 2: Convert to fraction form
    334,645.20/501,967.80 = 319,093.20/x
  3. Step 3: Cross multiply
    334,645.20x = 501,967.80 × 319,093.20
  4. Step 4: Simplify right side
    334,645.20x = 160,174,511,598.96
  5. Step 5: Solve for x
    x = 160,174,511,598.96/334,645.20
  6. Step 6: Final answer
    x = 478,639.80

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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.