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Finding the Fourth Proportional to 529,966.82, 731,363.64 and 288,254.72

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Solution

The fourth proportional to 529,966.82, 731,363.64 and 288,254.72 is: 397,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,966.82 : 731,363.64 = 288,254.72 : x
  2. Step 2: Convert to fraction form
    529,966.82/731,363.64 = 288,254.72/x
  3. Step 3: Cross multiply
    529,966.82x = 731,363.64 × 288,254.72
  4. Step 4: Simplify right side
    529,966.82x = 210,819,021,266.38
  5. Step 5: Solve for x
    x = 210,819,021,266.38/529,966.82
  6. Step 6: Final answer
    x = 397,796.64

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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.