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Finding the Fourth Proportional to 461,670.63, 637,124.73 and 257,732.88

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Solution

The fourth proportional to 461,670.63, 637,124.73 and 257,732.88 is: 355,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,670.63 : 637,124.73 = 257,732.88 : x
  2. Step 2: Convert to fraction form
    461,670.63/637,124.73 = 257,732.88/x
  3. Step 3: Cross multiply
    461,670.63x = 637,124.73 × 257,732.88
  4. Step 4: Simplify right side
    461,670.63x = 164,207,991,582.12
  5. Step 5: Solve for x
    x = 164,207,991,582.12/461,670.63
  6. Step 6: Final answer
    x = 355,682.13

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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.