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Finding the Fourth Proportional to 460,108.86, 634,937.84 and 256,159.87

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Solution

The fourth proportional to 460,108.86, 634,937.84 and 256,159.87 is: 353,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,108.86 : 634,937.84 = 256,159.87 : x
  2. Step 2: Convert to fraction form
    460,108.86/634,937.84 = 256,159.87/x
  3. Step 3: Cross multiply
    460,108.86x = 634,937.84 × 256,159.87
  4. Step 4: Simplify right side
    460,108.86x = 162,645,592,644.94
  5. Step 5: Solve for x
    x = 162,645,592,644.94/460,108.86
  6. Step 6: Final answer
    x = 353,493.72

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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.