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Finding the Fourth Proportional to 705,318.46, 973,637.46 and 476,186.14

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Solution

The fourth proportional to 705,318.46, 973,637.46 and 476,186.14 is: 657,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,318.46 : 973,637.46 = 476,186.14 : x
  2. Step 2: Convert to fraction form
    705,318.46/973,637.46 = 476,186.14/x
  3. Step 3: Cross multiply
    705,318.46x = 973,637.46 × 476,186.14
  4. Step 4: Simplify right side
    705,318.46x = 463,632,663,836.80
  5. Step 5: Solve for x
    x = 463,632,663,836.80/705,318.46
  6. Step 6: Final answer
    x = 657,338.05

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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.