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Finding the Fourth Proportional to 506,541.42, 699,059.64 and 291,676.87

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Solution

The fourth proportional to 506,541.42, 699,059.64 and 291,676.87 is: 402,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,541.42 : 699,059.64 = 291,676.87 : x
  2. Step 2: Convert to fraction form
    506,541.42/699,059.64 = 291,676.87/x
  3. Step 3: Cross multiply
    506,541.42x = 699,059.64 × 291,676.87
  4. Step 4: Simplify right side
    506,541.42x = 203,899,527,738.53
  5. Step 5: Solve for x
    x = 203,899,527,738.53/506,541.42
  6. Step 6: Final answer
    x = 402,532.78

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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.