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Finding the Fourth Proportional to 705,381.85, 973,581.96 and 463,686.76

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Solution

The fourth proportional to 705,381.85, 973,581.96 and 463,686.76 is: 639,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,381.85 : 973,581.96 = 463,686.76 : x
  2. Step 2: Convert to fraction form
    705,381.85/973,581.96 = 463,686.76/x
  3. Step 3: Cross multiply
    705,381.85x = 973,581.96 × 463,686.76
  4. Step 4: Simplify right side
    705,381.85x = 451,437,064,626.85
  5. Step 5: Solve for x
    x = 451,437,064,626.85/705,381.85
  6. Step 6: Final answer
    x = 639,989.62

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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.