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Finding the Fourth Proportional to 516,200.65, 712,232.26 and 301,218.01

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Solution

The fourth proportional to 516,200.65, 712,232.26 and 301,218.01 is: 415,608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,200.65 : 712,232.26 = 301,218.01 : x
  2. Step 2: Convert to fraction form
    516,200.65/712,232.26 = 301,218.01/x
  3. Step 3: Cross multiply
    516,200.65x = 712,232.26 × 301,218.01
  4. Step 4: Simplify right side
    516,200.65x = 214,537,184,015.00
  5. Step 5: Solve for x
    x = 214,537,184,015.00/516,200.65
  6. Step 6: Final answer
    x = 415,608.12

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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.