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Finding the Fourth Proportional to 598,970.08, 826,280.31 and 357,082.21

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Solution

The fourth proportional to 598,970.08, 826,280.31 and 357,082.21 is: 492,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,970.08 : 826,280.31 = 357,082.21 : x
  2. Step 2: Convert to fraction form
    598,970.08/826,280.31 = 357,082.21/x
  3. Step 3: Cross multiply
    598,970.08x = 826,280.31 × 357,082.21
  4. Step 4: Simplify right side
    598,970.08x = 295,049,999,174.29
  5. Step 5: Solve for x
    x = 295,049,999,174.29/598,970.08
  6. Step 6: Final answer
    x = 492,595.56

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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.