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Finding the Fourth Proportional to 794,286, 1,096,114.68 and 436,590

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Solution

The fourth proportional to 794,286, 1,096,114.68 and 436,590 is: 602,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,286 : 1,096,114.68 = 436,590 : x
  2. Step 2: Convert to fraction form
    794,286/1,096,114.68 = 436,590/x
  3. Step 3: Cross multiply
    794,286x = 1,096,114.68 × 436,590
  4. Step 4: Simplify right side
    794,286x = 478,552,708,141.20
  5. Step 5: Solve for x
    x = 478,552,708,141.20/794,286
  6. Step 6: Final answer
    x = 602,494.20

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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.