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Finding the Fourth Proportional to 705,363.49, 973,805.11 and 464,346.70

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Solution

The fourth proportional to 705,363.49, 973,805.11 and 464,346.70 is: 641,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,363.49 : 973,805.11 = 464,346.70 : x
  2. Step 2: Convert to fraction form
    705,363.49/973,805.11 = 464,346.70/x
  3. Step 3: Cross multiply
    705,363.49x = 973,805.11 × 464,346.70
  4. Step 4: Simplify right side
    705,363.49x = 452,183,182,080.88
  5. Step 5: Solve for x
    x = 452,183,182,080.88/705,363.49
  6. Step 6: Final answer
    x = 641,064.06

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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.