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Finding the Fourth Proportional to 529,142.22, 730,178.55 and 299,633.58

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Solution

The fourth proportional to 529,142.22, 730,178.55 and 299,633.58 is: 413,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,142.22 : 730,178.55 = 299,633.58 : x
  2. Step 2: Convert to fraction form
    529,142.22/730,178.55 = 299,633.58/x
  3. Step 3: Cross multiply
    529,142.22x = 730,178.55 × 299,633.58
  4. Step 4: Simplify right side
    529,142.22x = 218,786,012,975.71
  5. Step 5: Solve for x
    x = 218,786,012,975.71/529,142.22
  6. Step 6: Final answer
    x = 413,472.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.