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Finding the Fourth Proportional to 528,165.52, 728,961.56 and 313,424

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Solution

The fourth proportional to 528,165.52, 728,961.56 and 313,424 is: 432,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,165.52 : 728,961.56 = 313,424 : x
  2. Step 2: Convert to fraction form
    528,165.52/728,961.56 = 313,424/x
  3. Step 3: Cross multiply
    528,165.52x = 728,961.56 × 313,424
  4. Step 4: Simplify right side
    528,165.52x = 228,474,047,981.44
  5. Step 5: Solve for x
    x = 228,474,047,981.44/528,165.52
  6. Step 6: Final answer
    x = 432,580.39

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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.