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Finding the Fourth Proportional to 581,002.42, 800,938.32 and 406,029.38

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Solution

The fourth proportional to 581,002.42, 800,938.32 and 406,029.38 is: 559,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,002.42 : 800,938.32 = 406,029.38 : x
  2. Step 2: Convert to fraction form
    581,002.42/800,938.32 = 406,029.38/x
  3. Step 3: Cross multiply
    581,002.42x = 800,938.32 × 406,029.38
  4. Step 4: Simplify right side
    581,002.42x = 325,204,489,487.84
  5. Step 5: Solve for x
    x = 325,204,489,487.84/581,002.42
  6. Step 6: Final answer
    x = 559,730.01

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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.