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Finding the Fourth Proportional to 515,449.98, 711,318.51 and 289,095.48

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Solution

The fourth proportional to 515,449.98, 711,318.51 and 289,095.48 is: 398,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,449.98 : 711,318.51 = 289,095.48 : x
  2. Step 2: Convert to fraction form
    515,449.98/711,318.51 = 289,095.48/x
  3. Step 3: Cross multiply
    515,449.98x = 711,318.51 × 289,095.48
  4. Step 4: Simplify right side
    515,449.98x = 205,638,966,081.34
  5. Step 5: Solve for x
    x = 205,638,966,081.34/515,449.98
  6. Step 6: Final answer
    x = 398,950.38

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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.