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Finding the Fourth Proportional to 705,203.52, 973,044 and 418,813.44

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Solution

The fourth proportional to 705,203.52, 973,044 and 418,813.44 is: 577,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,203.52 : 973,044 = 418,813.44 : x
  2. Step 2: Convert to fraction form
    705,203.52/973,044 = 418,813.44/x
  3. Step 3: Cross multiply
    705,203.52x = 973,044 × 418,813.44
  4. Step 4: Simplify right side
    705,203.52x = 407,523,904,911.36
  5. Step 5: Solve for x
    x = 407,523,904,911.36/705,203.52
  6. Step 6: Final answer
    x = 577,881.27

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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.