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Finding the Fourth Proportional to 511,781.25, 767,639.58 and 199,864.11

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Solution

The fourth proportional to 511,781.25, 767,639.58 and 199,864.11 is: 299,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,781.25 : 767,639.58 = 199,864.11 : x
  2. Step 2: Convert to fraction form
    511,781.25/767,639.58 = 199,864.11/x
  3. Step 3: Cross multiply
    511,781.25x = 767,639.58 × 199,864.11
  4. Step 4: Simplify right side
    511,781.25x = 153,423,601,457.47
  5. Step 5: Solve for x
    x = 153,423,601,457.47/511,781.25
  6. Step 6: Final answer
    x = 299,783.55

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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.