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Finding the Fourth Proportional to 705,384.86, 973,586.10 and 463,689.76

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Solution

The fourth proportional to 705,384.86, 973,586.10 and 463,689.76 is: 639,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,384.86 : 973,586.10 = 463,689.76 : x
  2. Step 2: Convert to fraction form
    705,384.86/973,586.10 = 463,689.76/x
  3. Step 3: Cross multiply
    705,384.86x = 973,586.10 × 463,689.76
  4. Step 4: Simplify right side
    705,384.86x = 451,441,905,048.34
  5. Step 5: Solve for x
    x = 451,441,905,048.34/705,384.86
  6. Step 6: Final answer
    x = 639,993.75

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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.