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Finding the Fourth Proportional to 461,604.06, 637,011.21 and 257,643.21

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Solution

The fourth proportional to 461,604.06, 637,011.21 and 257,643.21 is: 355,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,604.06 : 637,011.21 = 257,643.21 : x
  2. Step 2: Convert to fraction form
    461,604.06/637,011.21 = 257,643.21/x
  3. Step 3: Cross multiply
    461,604.06x = 637,011.21 × 257,643.21
  4. Step 4: Simplify right side
    461,604.06x = 164,121,612,950.38
  5. Step 5: Solve for x
    x = 164,121,612,950.38/461,604.06
  6. Step 6: Final answer
    x = 355,546.29

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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.