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Finding the Fourth Proportional to 705,890.12, 973,457.88 and 464,377.28

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Solution

The fourth proportional to 705,890.12, 973,457.88 and 464,377.28 is: 640,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,890.12 : 973,457.88 = 464,377.28 : x
  2. Step 2: Convert to fraction form
    705,890.12/973,457.88 = 464,377.28/x
  3. Step 3: Cross multiply
    705,890.12x = 973,457.88 × 464,377.28
  4. Step 4: Simplify right side
    705,890.12x = 452,051,722,508.97
  5. Step 5: Solve for x
    x = 452,051,722,508.97/705,890.12
  6. Step 6: Final answer
    x = 640,399.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.