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Finding the Fourth Proportional to 705,312.33, 973,628.96 and 476,179.96

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Solution

The fourth proportional to 705,312.33, 973,628.96 and 476,179.96 is: 657,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,312.33 : 973,628.96 = 476,179.96 : x
  2. Step 2: Convert to fraction form
    705,312.33/973,628.96 = 476,179.96/x
  3. Step 3: Cross multiply
    705,312.33x = 973,628.96 × 476,179.96
  4. Step 4: Simplify right side
    705,312.33x = 463,622,599,227.64
  5. Step 5: Solve for x
    x = 463,622,599,227.64/705,312.33
  6. Step 6: Final answer
    x = 657,329.50

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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.