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Finding the Fourth Proportional to 316,830.63, 474,113.57 and 275,201.22

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Solution

The fourth proportional to 316,830.63, 474,113.57 and 275,201.22 is: 411,818.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,830.63 : 474,113.57 = 275,201.22 : x
  2. Step 2: Convert to fraction form
    316,830.63/474,113.57 = 275,201.22/x
  3. Step 3: Cross multiply
    316,830.63x = 474,113.57 × 275,201.22
  4. Step 4: Simplify right side
    316,830.63x = 130,476,631,506.55
  5. Step 5: Solve for x
    x = 130,476,631,506.55/316,830.63
  6. Step 6: Final answer
    x = 411,818.24

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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.