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Finding the Fourth Proportional to 575,644.86, 862,944.57 and 201,463.74

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Solution

The fourth proportional to 575,644.86, 862,944.57 and 201,463.74 is: 302,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,644.86 : 862,944.57 = 201,463.74 : x
  2. Step 2: Convert to fraction form
    575,644.86/862,944.57 = 201,463.74/x
  3. Step 3: Cross multiply
    575,644.86x = 862,944.57 × 201,463.74
  4. Step 4: Simplify right side
    575,644.86x = 173,852,040,484.89
  5. Step 5: Solve for x
    x = 173,852,040,484.89/575,644.86
  6. Step 6: Final answer
    x = 302,012.67

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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.