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Finding the Fourth Proportional to 511,462.07, 767,223.82 and 156,479.16

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Solution

The fourth proportional to 511,462.07, 767,223.82 and 156,479.16 is: 234,728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,462.07 : 767,223.82 = 156,479.16 : x
  2. Step 2: Convert to fraction form
    511,462.07/767,223.82 = 156,479.16/x
  3. Step 3: Cross multiply
    511,462.07x = 767,223.82 × 156,479.16
  4. Step 4: Simplify right side
    511,462.07x = 120,054,541,958.28
  5. Step 5: Solve for x
    x = 120,054,541,958.28/511,462.07
  6. Step 6: Final answer
    x = 234,728.14

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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.