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Finding the Fourth Proportional to 705,296.64, 973,973.64 and 491,022.60

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Solution

The fourth proportional to 705,296.64, 973,973.64 and 491,022.60 is: 678,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,296.64 : 973,973.64 = 491,022.60 : x
  2. Step 2: Convert to fraction form
    705,296.64/973,973.64 = 491,022.60/x
  3. Step 3: Cross multiply
    705,296.64x = 973,973.64 × 491,022.60
  4. Step 4: Simplify right side
    705,296.64x = 478,243,069,044.26
  5. Step 5: Solve for x
    x = 478,243,069,044.26/705,296.64
  6. Step 6: Final answer
    x = 678,073.65

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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.