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Finding the Fourth Proportional to 713,362.04, 1,069,732.02 and 269,819

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Solution

The fourth proportional to 713,362.04, 1,069,732.02 and 269,819 is: 404,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,362.04 : 1,069,732.02 = 269,819 : x
  2. Step 2: Convert to fraction form
    713,362.04/1,069,732.02 = 269,819/x
  3. Step 3: Cross multiply
    713,362.04x = 1,069,732.02 × 269,819
  4. Step 4: Simplify right side
    713,362.04x = 288,634,023,904.38
  5. Step 5: Solve for x
    x = 288,634,023,904.38/713,362.04
  6. Step 6: Final answer
    x = 404,610.85

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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.