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Finding the Fourth Proportional to 570,154.38, 786,759.64 and 340,665.98

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Solution

The fourth proportional to 570,154.38, 786,759.64 and 340,665.98 is: 470,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,154.38 : 786,759.64 = 340,665.98 : x
  2. Step 2: Convert to fraction form
    570,154.38/786,759.64 = 340,665.98/x
  3. Step 3: Cross multiply
    570,154.38x = 786,759.64 × 340,665.98
  4. Step 4: Simplify right side
    570,154.38x = 268,022,243,785.05
  5. Step 5: Solve for x
    x = 268,022,243,785.05/570,154.38
  6. Step 6: Final answer
    x = 470,087.14

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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.