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Finding the Fourth Proportional to 469,419.80, 702,963.30 and 376,107.80

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Solution

The fourth proportional to 469,419.80, 702,963.30 and 376,107.80 is: 563,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,419.80 : 702,963.30 = 376,107.80 : x
  2. Step 2: Convert to fraction form
    469,419.80/702,963.30 = 376,107.80/x
  3. Step 3: Cross multiply
    469,419.80x = 702,963.30 × 376,107.80
  4. Step 4: Simplify right side
    469,419.80x = 264,389,980,243.74
  5. Step 5: Solve for x
    x = 264,389,980,243.74/469,419.80
  6. Step 6: Final answer
    x = 563,227.16

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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.