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Finding the Fourth Proportional to 529,146.22, 730,184.06 and 299,637.58

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Solution

The fourth proportional to 529,146.22, 730,184.06 and 299,637.58 is: 413,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,146.22 : 730,184.06 = 299,637.58 : x
  2. Step 2: Convert to fraction form
    529,146.22/730,184.06 = 299,637.58/x
  3. Step 3: Cross multiply
    529,146.22x = 730,184.06 × 299,637.58
  4. Step 4: Simplify right side
    529,146.22x = 218,790,584,692.98
  5. Step 5: Solve for x
    x = 218,790,584,692.98/529,146.22
  6. Step 6: Final answer
    x = 413,478.50

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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.