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Finding the Fourth Proportional to 529,013.66, 730,262.25 and 357,164.42

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Solution

The fourth proportional to 529,013.66, 730,262.25 and 357,164.42 is: 493,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,013.66 : 730,262.25 = 357,164.42 : x
  2. Step 2: Convert to fraction form
    529,013.66/730,262.25 = 357,164.42/x
  3. Step 3: Cross multiply
    529,013.66x = 730,262.25 × 357,164.42
  4. Step 4: Simplify right side
    529,013.66x = 260,823,692,969.15
  5. Step 5: Solve for x
    x = 260,823,692,969.15/529,013.66
  6. Step 6: Final answer
    x = 493,037.73

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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.