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Finding the Fourth Proportional to 423,206.51, 584,023.23 and 229,614.21

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Solution

The fourth proportional to 423,206.51, 584,023.23 and 229,614.21 is: 316,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,206.51 : 584,023.23 = 229,614.21 : x
  2. Step 2: Convert to fraction form
    423,206.51/584,023.23 = 229,614.21/x
  3. Step 3: Cross multiply
    423,206.51x = 584,023.23 × 229,614.21
  4. Step 4: Simplify right side
    423,206.51x = 134,100,032,578.10
  5. Step 5: Solve for x
    x = 134,100,032,578.10/423,206.51
  6. Step 6: Final answer
    x = 316,866.66

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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.