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Finding the Fourth Proportional to 384,345.63, 575,735.22 and 232,450.29

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Solution

The fourth proportional to 384,345.63, 575,735.22 and 232,450.29 is: 348,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,345.63 : 575,735.22 = 232,450.29 : x
  2. Step 2: Convert to fraction form
    384,345.63/575,735.22 = 232,450.29/x
  3. Step 3: Cross multiply
    384,345.63x = 575,735.22 × 232,450.29
  4. Step 4: Simplify right side
    384,345.63x = 133,829,818,852.21
  5. Step 5: Solve for x
    x = 133,829,818,852.21/384,345.63
  6. Step 6: Final answer
    x = 348,201.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.