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Finding the Fourth Proportional to 497,570.72, 686,104.97 and 336,145.48

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Solution

The fourth proportional to 497,570.72, 686,104.97 and 336,145.48 is: 463,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,570.72 : 686,104.97 = 336,145.48 : x
  2. Step 2: Convert to fraction form
    497,570.72/686,104.97 = 336,145.48/x
  3. Step 3: Cross multiply
    497,570.72x = 686,104.97 × 336,145.48
  4. Step 4: Simplify right side
    497,570.72x = 230,631,081,075.05
  5. Step 5: Solve for x
    x = 230,631,081,075.05/497,570.72
  6. Step 6: Final answer
    x = 463,514.18

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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.