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Finding the Fourth Proportional to 511,548.32, 767,322.48 and 227,172.00

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Solution

The fourth proportional to 511,548.32, 767,322.48 and 227,172.00 is: 340,758.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,548.32 : 767,322.48 = 227,172.00 : x
  2. Step 2: Convert to fraction form
    511,548.32/767,322.48 = 227,172.00/x
  3. Step 3: Cross multiply
    511,548.32x = 767,322.48 × 227,172.00
  4. Step 4: Simplify right side
    511,548.32x = 174,314,186,155.91
  5. Step 5: Solve for x
    x = 174,314,186,155.91/511,548.32
  6. Step 6: Final answer
    x = 340,758.01

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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.