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Finding the Fourth Proportional to 486,713.19, 730,256.75 and 342,757.16

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Solution

The fourth proportional to 486,713.19, 730,256.75 and 342,757.16 is: 514,267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,713.19 : 730,256.75 = 342,757.16 : x
  2. Step 2: Convert to fraction form
    486,713.19/730,256.75 = 342,757.16/x
  3. Step 3: Cross multiply
    486,713.19x = 730,256.75 × 342,757.16
  4. Step 4: Simplify right side
    486,713.19x = 250,300,732,383.37
  5. Step 5: Solve for x
    x = 250,300,732,383.37/486,713.19
  6. Step 6: Final answer
    x = 514,267.41

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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.