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Finding the Fourth Proportional to 569,743.76, 786,214.41 and 311,569.36

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Solution

The fourth proportional to 569,743.76, 786,214.41 and 311,569.36 is: 429,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,743.76 : 786,214.41 = 311,569.36 : x
  2. Step 2: Convert to fraction form
    569,743.76/786,214.41 = 311,569.36/x
  3. Step 3: Cross multiply
    569,743.76x = 786,214.41 × 311,569.36
  4. Step 4: Simplify right side
    569,743.76x = 244,960,320,546.48
  5. Step 5: Solve for x
    x = 244,960,320,546.48/569,743.76
  6. Step 6: Final answer
    x = 429,948.23

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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.