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Finding the Fourth Proportional to 497,518.40, 686,033.34 and 336,093.32

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Solution

The fourth proportional to 497,518.40, 686,033.34 and 336,093.32 is: 463,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,518.40 : 686,033.34 = 336,093.32 : x
  2. Step 2: Convert to fraction form
    497,518.40/686,033.34 = 336,093.32/x
  3. Step 3: Cross multiply
    497,518.40x = 686,033.34 × 336,093.32
  4. Step 4: Simplify right side
    497,518.40x = 230,571,222,871.29
  5. Step 5: Solve for x
    x = 230,571,222,871.29/497,518.40
  6. Step 6: Final answer
    x = 463,442.60

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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.