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Finding the Fourth Proportional to 528,163, 728,864.94 and 289,693.88

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Solution

The fourth proportional to 528,163, 728,864.94 and 289,693.88 is: 399,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,163 : 728,864.94 = 289,693.88 : x
  2. Step 2: Convert to fraction form
    528,163/728,864.94 = 289,693.88/x
  3. Step 3: Cross multiply
    528,163x = 728,864.94 × 289,693.88
  4. Step 4: Simplify right side
    528,163x = 211,147,712,464.57
  5. Step 5: Solve for x
    x = 211,147,712,464.57/528,163
  6. Step 6: Final answer
    x = 399,777.55

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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.