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Finding the Fourth Proportional to 570,464.92, 786,994.38 and 343,984.60

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Solution

The fourth proportional to 570,464.92, 786,994.38 and 343,984.60 is: 474,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,464.92 : 786,994.38 = 343,984.60 : x
  2. Step 2: Convert to fraction form
    570,464.92/786,994.38 = 343,984.60/x
  3. Step 3: Cross multiply
    570,464.92x = 786,994.38 × 343,984.60
  4. Step 4: Simplify right side
    570,464.92x = 270,713,947,006.55
  5. Step 5: Solve for x
    x = 270,713,947,006.55/570,464.92
  6. Step 6: Final answer
    x = 474,549.68

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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.