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Finding the Fourth Proportional to 457,201.50, 630,938.07 and 256,001.82

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Solution

The fourth proportional to 457,201.50, 630,938.07 and 256,001.82 is: 353,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,201.50 : 630,938.07 = 256,001.82 : x
  2. Step 2: Convert to fraction form
    457,201.50/630,938.07 = 256,001.82/x
  3. Step 3: Cross multiply
    457,201.50x = 630,938.07 × 256,001.82
  4. Step 4: Simplify right side
    457,201.50x = 161,521,294,227.29
  5. Step 5: Solve for x
    x = 161,521,294,227.29/457,201.50
  6. Step 6: Final answer
    x = 353,282.51

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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.