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Finding the Fourth Proportional to 542,971.12, 810,047.83 and 513,577.84

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Solution

The fourth proportional to 542,971.12, 810,047.83 and 513,577.84 is: 766,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,971.12 : 810,047.83 = 513,577.84 : x
  2. Step 2: Convert to fraction form
    542,971.12/810,047.83 = 513,577.84/x
  3. Step 3: Cross multiply
    542,971.12x = 810,047.83 × 513,577.84
  4. Step 4: Simplify right side
    542,971.12x = 416,022,614,828.09
  5. Step 5: Solve for x
    x = 416,022,614,828.09/542,971.12
  6. Step 6: Final answer
    x = 766,196.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.