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Finding the Fourth Proportional to 705,316.83, 973,635.17 and 476,184.47

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Solution

The fourth proportional to 705,316.83, 973,635.17 and 476,184.47 is: 657,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,316.83 : 973,635.17 = 476,184.47 : x
  2. Step 2: Convert to fraction form
    705,316.83/973,635.17 = 476,184.47/x
  3. Step 3: Cross multiply
    705,316.83x = 973,635.17 × 476,184.47
  4. Step 4: Simplify right side
    705,316.83x = 463,629,940,150.71
  5. Step 5: Solve for x
    x = 463,629,940,150.71/705,316.83
  6. Step 6: Final answer
    x = 657,335.71

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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.