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Finding the Fourth Proportional to 405,890.82, 560,188.76 and 233,775.70

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Solution

The fourth proportional to 405,890.82, 560,188.76 and 233,775.70 is: 322,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,890.82 : 560,188.76 = 233,775.70 : x
  2. Step 2: Convert to fraction form
    405,890.82/560,188.76 = 233,775.70/x
  3. Step 3: Cross multiply
    405,890.82x = 560,188.76 × 233,775.70
  4. Step 4: Simplify right side
    405,890.82x = 130,958,516,931.78
  5. Step 5: Solve for x
    x = 130,958,516,931.78/405,890.82
  6. Step 6: Final answer
    x = 322,644.69

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1.5x scale

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.