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Finding the Fourth Proportional to 476,292.74, 657,829.49 and 313,676.18

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Solution

The fourth proportional to 476,292.74, 657,829.49 and 313,676.18 is: 433,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,292.74 : 657,829.49 = 313,676.18 : x
  2. Step 2: Convert to fraction form
    476,292.74/657,829.49 = 313,676.18/x
  3. Step 3: Cross multiply
    476,292.74x = 657,829.49 × 313,676.18
  4. Step 4: Simplify right side
    476,292.74x = 206,345,438,225.40
  5. Step 5: Solve for x
    x = 206,345,438,225.40/476,292.74
  6. Step 6: Final answer
    x = 433,232.38

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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.