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Finding the Fourth Proportional to 497,563.47, 686,094.96 and 336,138.23

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Solution

The fourth proportional to 497,563.47, 686,094.96 and 336,138.23 is: 463,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,563.47 : 686,094.96 = 336,138.23 : x
  2. Step 2: Convert to fraction form
    497,563.47/686,094.96 = 336,138.23/x
  3. Step 3: Cross multiply
    497,563.47x = 686,094.96 × 336,138.23
  4. Step 4: Simplify right side
    497,563.47x = 230,622,743,751.08
  5. Step 5: Solve for x
    x = 230,622,743,751.08/497,563.47
  6. Step 6: Final answer
    x = 463,504.18

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1.5x scale

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.