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Finding the Fourth Proportional to 306,514.76, 459,543.07 and 211,473.74

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Solution

The fourth proportional to 306,514.76, 459,543.07 and 211,473.74 is: 317,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,514.76 : 459,543.07 = 211,473.74 : x
  2. Step 2: Convert to fraction form
    306,514.76/459,543.07 = 211,473.74/x
  3. Step 3: Cross multiply
    306,514.76x = 459,543.07 × 211,473.74
  4. Step 4: Simplify right side
    306,514.76x = 97,181,291,703.98
  5. Step 5: Solve for x
    x = 97,181,291,703.98/306,514.76
  6. Step 6: Final answer
    x = 317,052.57

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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.