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Finding the Fourth Proportional to 461,763.58, 637,227.54 and 257,817.63

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Solution

The fourth proportional to 461,763.58, 637,227.54 and 257,817.63 is: 355,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,763.58 : 637,227.54 = 257,817.63 : x
  2. Step 2: Convert to fraction form
    461,763.58/637,227.54 = 257,817.63/x
  3. Step 3: Cross multiply
    461,763.58x = 637,227.54 × 257,817.63
  4. Step 4: Simplify right side
    461,763.58x = 164,288,494,133.53
  5. Step 5: Solve for x
    x = 164,288,494,133.53/461,763.58
  6. Step 6: Final answer
    x = 355,784.87

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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.