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Finding the Fourth Proportional to 823,316.24, 1,234,801.56 and 232,202

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Solution

The fourth proportional to 823,316.24, 1,234,801.56 and 232,202 is: 348,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,316.24 : 1,234,801.56 = 232,202 : x
  2. Step 2: Convert to fraction form
    823,316.24/1,234,801.56 = 232,202/x
  3. Step 3: Cross multiply
    823,316.24x = 1,234,801.56 × 232,202
  4. Step 4: Simplify right side
    823,316.24x = 286,723,391,835.12
  5. Step 5: Solve for x
    x = 286,723,391,835.12/823,316.24
  6. Step 6: Final answer
    x = 348,254.26

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