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Finding the Fourth Proportional to 516,569.84, 712,833.72 and 301,770.80

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Solution

The fourth proportional to 516,569.84, 712,833.72 and 301,770.80 is: 416,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,569.84 : 712,833.72 = 301,770.80 : x
  2. Step 2: Convert to fraction form
    516,569.84/712,833.72 = 301,770.80/x
  3. Step 3: Cross multiply
    516,569.84x = 712,833.72 × 301,770.80
  4. Step 4: Simplify right side
    516,569.84x = 215,112,401,951.38
  5. Step 5: Solve for x
    x = 215,112,401,951.38/516,569.84
  6. Step 6: Final answer
    x = 416,424.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.