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Finding the Fourth Proportional to 509,354.44, 703,499.63 and 339,293.32

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Solution

The fourth proportional to 509,354.44, 703,499.63 and 339,293.32 is: 468,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,354.44 : 703,499.63 = 339,293.32 : x
  2. Step 2: Convert to fraction form
    509,354.44/703,499.63 = 339,293.32/x
  3. Step 3: Cross multiply
    509,354.44x = 703,499.63 × 339,293.32
  4. Step 4: Simplify right side
    509,354.44x = 238,692,721,626.26
  5. Step 5: Solve for x
    x = 238,692,721,626.26/509,354.44
  6. Step 6: Final answer
    x = 468,618.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.