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Finding the Fourth Proportional to 461,777.91, 637,247.47 and 257,832.30

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Solution

The fourth proportional to 461,777.91, 637,247.47 and 257,832.30 is: 355,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,777.91 : 637,247.47 = 257,832.30 : x
  2. Step 2: Convert to fraction form
    461,777.91/637,247.47 = 257,832.30/x
  3. Step 3: Cross multiply
    461,777.91x = 637,247.47 × 257,832.30
  4. Step 4: Simplify right side
    461,777.91x = 164,302,979,503.30
  5. Step 5: Solve for x
    x = 164,302,979,503.30/461,777.91
  6. Step 6: Final answer
    x = 355,805.19

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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.