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Finding the Fourth Proportional to 534,607.41, 799,694.95 and 407,284.32

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Solution

The fourth proportional to 534,607.41, 799,694.95 and 407,284.32 is: 609,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,607.41 : 799,694.95 = 407,284.32 : x
  2. Step 2: Convert to fraction form
    534,607.41/799,694.95 = 407,284.32/x
  3. Step 3: Cross multiply
    534,607.41x = 799,694.95 × 407,284.32
  4. Step 4: Simplify right side
    534,607.41x = 325,703,213,918.18
  5. Step 5: Solve for x
    x = 325,703,213,918.18/534,607.41
  6. Step 6: Final answer
    x = 609,238.12

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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.