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Finding the Fourth Proportional to 577,446.14, 865,953.48 and 198,259.22

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Solution

The fourth proportional to 577,446.14, 865,953.48 and 198,259.22 is: 297,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,446.14 : 865,953.48 = 198,259.22 : x
  2. Step 2: Convert to fraction form
    577,446.14/865,953.48 = 198,259.22/x
  3. Step 3: Cross multiply
    577,446.14x = 865,953.48 × 198,259.22
  4. Step 4: Simplify right side
    577,446.14x = 171,683,261,501.09
  5. Step 5: Solve for x
    x = 171,683,261,501.09/577,446.14
  6. Step 6: Final answer
    x = 297,314.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.