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Finding the Fourth Proportional to 476,829, 658,024.56 and 261,969.48

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Solution

The fourth proportional to 476,829, 658,024.56 and 261,969.48 is: 361,518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,829 : 658,024.56 = 261,969.48 : x
  2. Step 2: Convert to fraction form
    476,829/658,024.56 = 261,969.48/x
  3. Step 3: Cross multiply
    476,829x = 658,024.56 × 261,969.48
  4. Step 4: Simplify right side
    476,829x = 172,382,351,810.43
  5. Step 5: Solve for x
    x = 172,382,351,810.43/476,829
  6. Step 6: Final answer
    x = 361,518.18

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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.