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Finding the Fourth Proportional to 529,698, 730,983.24 and 291,234

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Solution

The fourth proportional to 529,698, 730,983.24 and 291,234 is: 401,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,698 : 730,983.24 = 291,234 : x
  2. Step 2: Convert to fraction form
    529,698/730,983.24 = 291,234/x
  3. Step 3: Cross multiply
    529,698x = 730,983.24 × 291,234
  4. Step 4: Simplify right side
    529,698x = 212,887,172,918.16
  5. Step 5: Solve for x
    x = 212,887,172,918.16/529,698
  6. Step 6: Final answer
    x = 401,902.92

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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.