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Finding the Fourth Proportional to 529,773.86, 731,097.07 and 288,058.07

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Solution

The fourth proportional to 529,773.86, 731,097.07 and 288,058.07 is: 397,525.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,773.86 : 731,097.07 = 288,058.07 : x
  2. Step 2: Convert to fraction form
    529,773.86/731,097.07 = 288,058.07/x
  3. Step 3: Cross multiply
    529,773.86x = 731,097.07 × 288,058.07
  4. Step 4: Simplify right side
    529,773.86x = 210,598,410,966.86
  5. Step 5: Solve for x
    x = 210,598,410,966.86/529,773.86
  6. Step 6: Final answer
    x = 397,525.11

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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.