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Finding the Fourth Proportional to 705,203.02, 973,043.31 and 418,812.94

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Solution

The fourth proportional to 705,203.02, 973,043.31 and 418,812.94 is: 577,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,203.02 : 973,043.31 = 418,812.94 : x
  2. Step 2: Convert to fraction form
    705,203.02/973,043.31 = 418,812.94/x
  3. Step 3: Cross multiply
    705,203.02x = 973,043.31 × 418,812.94
  4. Step 4: Simplify right side
    705,203.02x = 407,523,129,408.43
  5. Step 5: Solve for x
    x = 407,523,129,408.43/705,203.02
  6. Step 6: Final answer
    x = 577,880.58

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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.