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Finding the Fourth Proportional to 459,756.86, 634,104.44 and 314,648.66

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Solution

The fourth proportional to 459,756.86, 634,104.44 and 314,648.66 is: 433,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,756.86 : 634,104.44 = 314,648.66 : x
  2. Step 2: Convert to fraction form
    459,756.86/634,104.44 = 314,648.66/x
  3. Step 3: Cross multiply
    459,756.86x = 634,104.44 × 314,648.66
  4. Step 4: Simplify right side
    459,756.86x = 199,520,112,346.05
  5. Step 5: Solve for x
    x = 199,520,112,346.05/459,756.86
  6. Step 6: Final answer
    x = 433,968.76

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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.