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Finding the Fourth Proportional to 705,329.97, 973,653.21 and 476,197.52

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Solution

The fourth proportional to 705,329.97, 973,653.21 and 476,197.52 is: 657,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,329.97 : 973,653.21 = 476,197.52 : x
  2. Step 2: Convert to fraction form
    705,329.97/973,653.21 = 476,197.52/x
  3. Step 3: Cross multiply
    705,329.97x = 973,653.21 × 476,197.52
  4. Step 4: Simplify right side
    705,329.97x = 463,651,246,376.17
  5. Step 5: Solve for x
    x = 463,651,246,376.17/705,329.97
  6. Step 6: Final answer
    x = 657,353.67

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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.