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Finding the Fourth Proportional to 529,065.44, 729,996.72 and 314,277.92

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Solution

The fourth proportional to 529,065.44, 729,996.72 and 314,277.92 is: 433,636.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,065.44 : 729,996.72 = 314,277.92 : x
  2. Step 2: Convert to fraction form
    529,065.44/729,996.72 = 314,277.92/x
  3. Step 3: Cross multiply
    529,065.44x = 729,996.72 × 314,277.92
  4. Step 4: Simplify right side
    529,065.44x = 229,421,850,768.42
  5. Step 5: Solve for x
    x = 229,421,850,768.42/529,065.44
  6. Step 6: Final answer
    x = 433,636.06

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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.