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Finding the Fourth Proportional to 448,031.68, 671,814.12 and 211,310.80

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Solution

The fourth proportional to 448,031.68, 671,814.12 and 211,310.80 is: 316,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,031.68 : 671,814.12 = 211,310.80 : x
  2. Step 2: Convert to fraction form
    448,031.68/671,814.12 = 211,310.80/x
  3. Step 3: Cross multiply
    448,031.68x = 671,814.12 × 211,310.80
  4. Step 4: Simplify right side
    448,031.68x = 141,961,579,148.50
  5. Step 5: Solve for x
    x = 141,961,579,148.50/448,031.68
  6. Step 6: Final answer
    x = 316,856.12

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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.