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Finding the Fourth Proportional to 570,894.84, 788,197.90 and 356,350.14

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Solution

The fourth proportional to 570,894.84, 788,197.90 and 356,350.14 is: 491,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,894.84 : 788,197.90 = 356,350.14 : x
  2. Step 2: Convert to fraction form
    570,894.84/788,197.90 = 356,350.14/x
  3. Step 3: Cross multiply
    570,894.84x = 788,197.90 × 356,350.14
  4. Step 4: Simplify right side
    570,894.84x = 280,874,432,012.71
  5. Step 5: Solve for x
    x = 280,874,432,012.71/570,894.84
  6. Step 6: Final answer
    x = 491,989.79

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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.