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Finding the Fourth Proportional to 590,658.16, 816,174.48 and 420,597.04

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Solution

The fourth proportional to 590,658.16, 816,174.48 and 420,597.04 is: 581,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,658.16 : 816,174.48 = 420,597.04 : x
  2. Step 2: Convert to fraction form
    590,658.16/816,174.48 = 420,597.04/x
  3. Step 3: Cross multiply
    590,658.16x = 816,174.48 × 420,597.04
  4. Step 4: Simplify right side
    590,658.16x = 343,280,570,411.54
  5. Step 5: Solve for x
    x = 343,280,570,411.54/590,658.16
  6. Step 6: Final answer
    x = 581,183.15

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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.