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Finding the Fourth Proportional to 598,096.79, 896,406.44 and 513,260.63

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Solution

The fourth proportional to 598,096.79, 896,406.44 and 513,260.63 is: 769,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,096.79 : 896,406.44 = 513,260.63 : x
  2. Step 2: Convert to fraction form
    598,096.79/896,406.44 = 513,260.63/x
  3. Step 3: Cross multiply
    598,096.79x = 896,406.44 × 513,260.63
  4. Step 4: Simplify right side
    598,096.79x = 460,090,127,082.12
  5. Step 5: Solve for x
    x = 460,090,127,082.12/598,096.79
  6. Step 6: Final answer
    x = 769,256.98

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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.