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Finding the Fourth Proportional to 513,777.29, 709,001.42 and 281,203.07

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Solution

The fourth proportional to 513,777.29, 709,001.42 and 281,203.07 is: 388,054.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,777.29 : 709,001.42 = 281,203.07 : x
  2. Step 2: Convert to fraction form
    513,777.29/709,001.42 = 281,203.07/x
  3. Step 3: Cross multiply
    513,777.29x = 709,001.42 × 281,203.07
  4. Step 4: Simplify right side
    513,777.29x = 199,373,370,987.34
  5. Step 5: Solve for x
    x = 199,373,370,987.34/513,777.29
  6. Step 6: Final answer
    x = 388,054.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.