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Finding the Fourth Proportional to 705,310.46, 973,626.42 and 476,178.13

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Solution

The fourth proportional to 705,310.46, 973,626.42 and 476,178.13 is: 657,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,310.46 : 973,626.42 = 476,178.13 : x
  2. Step 2: Convert to fraction form
    705,310.46/973,626.42 = 476,178.13/x
  3. Step 3: Cross multiply
    705,310.46x = 973,626.42 × 476,178.13
  4. Step 4: Simplify right side
    705,310.46x = 463,619,606,279.61
  5. Step 5: Solve for x
    x = 463,619,606,279.61/705,310.46
  6. Step 6: Final answer
    x = 657,327.00

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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.