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Finding the Fourth Proportional to 449,130.16, 619,903.82 and 296,195.95

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Solution

The fourth proportional to 449,130.16, 619,903.82 and 296,195.95 is: 408,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,130.16 : 619,903.82 = 296,195.95 : x
  2. Step 2: Convert to fraction form
    449,130.16/619,903.82 = 296,195.95/x
  3. Step 3: Cross multiply
    449,130.16x = 619,903.82 × 296,195.95
  4. Step 4: Simplify right side
    449,130.16x = 183,612,996,293.03
  5. Step 5: Solve for x
    x = 183,612,996,293.03/449,130.16
  6. Step 6: Final answer
    x = 408,819.12

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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.