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Finding the Fourth Proportional to 570,688.46, 856,006.01 and 233,645.77

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Solution

The fourth proportional to 570,688.46, 856,006.01 and 233,645.77 is: 350,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,688.46 : 856,006.01 = 233,645.77 : x
  2. Step 2: Convert to fraction form
    570,688.46/856,006.01 = 233,645.77/x
  3. Step 3: Cross multiply
    570,688.46x = 856,006.01 × 233,645.77
  4. Step 4: Simplify right side
    570,688.46x = 200,002,183,331.08
  5. Step 5: Solve for x
    x = 200,002,183,331.08/570,688.46
  6. Step 6: Final answer
    x = 350,457.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.