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Finding the Fourth Proportional to 419,860.86, 579,304.62 and 256,475.76

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Solution

The fourth proportional to 419,860.86, 579,304.62 and 256,475.76 is: 353,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,860.86 : 579,304.62 = 256,475.76 : x
  2. Step 2: Convert to fraction form
    419,860.86/579,304.62 = 256,475.76/x
  3. Step 3: Cross multiply
    419,860.86x = 579,304.62 × 256,475.76
  4. Step 4: Simplify right side
    419,860.86x = 148,577,592,686.01
  5. Step 5: Solve for x
    x = 148,577,592,686.01/419,860.86
  6. Step 6: Final answer
    x = 353,873.41

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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.