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Finding the Fourth Proportional to 529,152.66, 730,205.82 and 299,704.50

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Solution

The fourth proportional to 529,152.66, 730,205.82 and 299,704.50 is: 413,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,152.66 : 730,205.82 = 299,704.50 : x
  2. Step 2: Convert to fraction form
    529,152.66/730,205.82 = 299,704.50/x
  3. Step 3: Cross multiply
    529,152.66x = 730,205.82 × 299,704.50
  4. Step 4: Simplify right side
    529,152.66x = 218,845,970,180.19
  5. Step 5: Solve for x
    x = 218,845,970,180.19/529,152.66
  6. Step 6: Final answer
    x = 413,578.13

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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.