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Finding the Fourth Proportional to 511,574.32, 767,230.54 and 151,661.01

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Solution

The fourth proportional to 511,574.32, 767,230.54 and 151,661.01 is: 227,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,574.32 : 767,230.54 = 151,661.01 : x
  2. Step 2: Convert to fraction form
    511,574.32/767,230.54 = 151,661.01/x
  3. Step 3: Cross multiply
    511,574.32x = 767,230.54 × 151,661.01
  4. Step 4: Simplify right side
    511,574.32x = 116,358,958,599.25
  5. Step 5: Solve for x
    x = 116,358,958,599.25/511,574.32
  6. Step 6: Final answer
    x = 227,452.70

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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.