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Finding the Fourth Proportional to 497,018.62, 686,290.18 and 405,152.32

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Solution

The fourth proportional to 497,018.62, 686,290.18 and 405,152.32 is: 559,439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,018.62 : 686,290.18 = 405,152.32 : x
  2. Step 2: Convert to fraction form
    497,018.62/686,290.18 = 405,152.32/x
  3. Step 3: Cross multiply
    497,018.62x = 686,290.18 × 405,152.32
  4. Step 4: Simplify right side
    497,018.62x = 278,052,058,620.22
  5. Step 5: Solve for x
    x = 278,052,058,620.22/497,018.62
  6. Step 6: Final answer
    x = 559,439.92

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