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Finding the Fourth Proportional to 564,340.24, 778,809.36 and 309,693.52

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Solution

The fourth proportional to 564,340.24, 778,809.36 and 309,693.52 is: 427,387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,340.24 : 778,809.36 = 309,693.52 : x
  2. Step 2: Convert to fraction form
    564,340.24/778,809.36 = 309,693.52/x
  3. Step 3: Cross multiply
    564,340.24x = 778,809.36 × 309,693.52
  4. Step 4: Simplify right side
    564,340.24x = 241,192,212,107.35
  5. Step 5: Solve for x
    x = 241,192,212,107.35/564,340.24
  6. Step 6: Final answer
    x = 427,387.94

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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.