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Finding the Fourth Proportional to 877,477, 1,316,215.68 and 316,511.44

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Solution

The fourth proportional to 877,477, 1,316,215.68 and 316,511.44 is: 474,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,477 : 1,316,215.68 = 316,511.44 : x
  2. Step 2: Convert to fraction form
    877,477/1,316,215.68 = 316,511.44/x
  3. Step 3: Cross multiply
    877,477x = 1,316,215.68 × 316,511.44
  4. Step 4: Simplify right side
    877,477x = 416,597,320,227.38
  5. Step 5: Solve for x
    x = 416,597,320,227.38/877,477
  6. Step 6: Final answer
    x = 474,767.22

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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.