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Finding the Fourth Proportional to 316,104.37, 473,657.17 and 256,649.56

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Solution

The fourth proportional to 316,104.37, 473,657.17 and 256,649.56 is: 384,568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,104.37 : 473,657.17 = 256,649.56 : x
  2. Step 2: Convert to fraction form
    316,104.37/473,657.17 = 256,649.56/x
  3. Step 3: Cross multiply
    316,104.37x = 473,657.17 × 256,649.56
  4. Step 4: Simplify right side
    316,104.37x = 121,563,904,271.35
  5. Step 5: Solve for x
    x = 121,563,904,271.35/316,104.37
  6. Step 6: Final answer
    x = 384,568.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.